This page shows the factorization of numbers of the form 2ⁿ-3 and 2ⁿ+3. Prime numbers are shown in bold; partial factorizations are shown in red.


2ⁿ-3

2 ^ 3 - 3 = 5
2 ^ 4 - 3 = 13
2 ^ 5 - 3 = 29
2 ^ 6 - 3 = 61
2 ^ 7 - 3 = 5 ^ 3
2 ^ 8 - 3 = 11 * 23
2 ^ 9 - 3 = 509
2 ^ 10 - 3 = 1021
2 ^ 11 - 3 = 5 * 409
2 ^ 12 - 3 = 4093
2 ^ 13 - 3 = 19 * 431
2 ^ 14 - 3 = 16381
2 ^ 15 - 3 = 5 * 6553
2 ^ 16 - 3 = 13 * 71 ^ 2
2 ^ 17 - 3 = 53 * 2473
2 ^ 18 - 3 = 11 * 23831
2 ^ 19 - 3 = 5 * 23 * 47 * 97
2 ^ 20 - 3 = 1048573
2 ^ 21 - 3 = 773 * 2713
2 ^ 22 - 3 = 4194301
2 ^ 23 - 3 = 5 * 1677721
2 ^ 24 - 3 = 16777213
2 ^ 25 - 3 = 479 * 70051
2 ^ 26 - 3 = 37 * 349 * 5197
2 ^ 27 - 3 = 5 ^ 2 * 173 * 31033
2 ^ 28 - 3 = 11 * 13 * 1877171
2 ^ 29 - 3 = 536870909
2 ^ 30 - 3 = 23 * 46684427
2 ^ 31 - 3 = 5 * 19 * 22605091
2 ^ 32 - 3 = 9241 * 464773
2 ^ 33 - 3 = 29 * 296204641
2 ^ 34 - 3 = 5113 * 3360037
2 ^ 35 - 3 = 5 * P10
2 ^ 36 - 3 = 242819 * 283007
2 ^ 37 - 3 = 47189 * 2912521
2 ^ 38 - 3 = 11 * 12589 * 1984979
2 ^ 39 - 3 = 5 * 67 * P10
2 ^ 40 - 3 = 13 * P11
2 ^ 41 - 3 = 23 * 139 * 687839617
2 ^ 42 - 3 = 47 * 193 * 4463 * 108637
2 ^ 43 - 3 = 5 * 211 * P10
2 ^ 44 - 3 = 5927 * P10
2 ^ 45 - 3 = 2087 * 48193 * 349819
2 ^ 46 - 3 = 227 * 19273 * 16084391
2 ^ 47 - 3 = 5 ^ 2 * P13
2 ^ 48 - 3 = 11 * 167 * 239 * 641110271
2 ^ 49 - 3 = 19 * 4967 * P10
2 ^ 50 - 3 = 59 * 176329 * 108224111
2 ^ 51 - 3 = 5 * 71 * P13
2 ^ 52 - 3 = 13 * 23 * 2192917 * 6868571
2 ^ 53 - 3 = 2203 * 5741 * 712176643
2 ^ 54 - 3 = 36217 * P12
2 ^ 55 - 3 = 5 * 1871 * 2207 * 2621 * 665789
2 ^ 56 - 3 = 181 * 313 * 431 * 9923 * 297397
2 ^ 57 - 3 = 1009 * 1524287 * 93702643
2 ^ 58 - 3 = 11 * P17
2 ^ 59 - 3 = 5 * 2663 * P14
2 ^ 60 - 3 = 1177067 * P12
2 ^ 61 - 3 = 29 * P17
2 ^ 62 - 3 = 37 * 9902437 * P11
2 ^ 63 - 3 = 5 * 23 * 53301701 * P10
2 ^ 64 - 3 = 13 * 3889 * P15
2 ^ 65 - 3 = 47 * 239831 * P13
2 ^ 66 - 3 = 61 * 5147 * 19813 * P11
2 ^ 67 - 3 = 5 ^ 2 * 19 * 97 * 457661 * P10
2 ^ 68 - 3 = 11 * 6299 * 39047 * P12
2 ^ 69 - 3 = 53 * 101 * 359 * P15
2 ^ 70 - 3 = 107 * 3096609167 * P10
2 ^ 71 - 3 = 5 * P21
2 ^ 72 - 3 = 83 * 131 * 294971519 * P10
2 ^ 73 - 3 = 4973 * P19
2 ^ 74 - 3 = 23 * 68053 * 374159 * P11
2 ^ 75 - 3 = 5 * 619 * 2151491857 * P10
2 ^ 76 - 3 = 13 * 21407 * P18
2 ^ 77 - 3 = 1291 * 99432527 * P13
2 ^ 78 - 3 = 11 * 89329 * P18
2 ^ 79 - 3 = 5 * 3414023 * 146481287 * 241741417
2 ^ 80 - 3 = 647 * 9277 * 429181 * P12
2 ^ 81 - 3 = 5189 * 188189 * P16
2 ^ 82 - 3 = 6983 * 20963 * 151357 * P12
2 ^ 83 - 3 = 5 * 263 * 31177 * 4323551 * P11
2 ^ 84 - 3 = 757 * 1597 * P20
2 ^ 85 - 3 = 19 * 23 * 2854823137 * P14
2 ^ 86 - 3 = 71 * 61810164109 * P14
2 ^ 87 - 3 = 5 ^ 2 * 149 * 23011 * 129893 * P14
2 ^ 88 - 3 = 11 ^ 2 * 13 * 47 * 18133 * 265381 * 506663 * 1716937
2 ^ 89 - 3 = 29 * 191 * P24
2 ^ 90 - 3 = 1823 * 735556271 * P15
2 ^ 91 - 3 = 5 * 126891577 * 197731291 * P11
2 ^ 92 - 3 = 311 * P26
2 ^ 93 - 3 = 307 * 2776419924431 * P14
2 ^ 94 - 3 = P29
2 ^ 95 - 3 = 5 * P28
2 ^ 96 - 3 = 23 * 160045282633 * P17
2 ^ 97 - 3 = 1624171 * 10669579483 * P13
2 ^ 98 - 3 = 11 * 37 * 414503 * P22
2 ^ 99 - 3 = 5 * 431 * 5659 * 7013 * 4204061 * P13
2 ^ 100 - 3 = 13 * 419 * P27
2 ^ 101 - 3 = 163 * P29
2 ^ 102 - 3 = 2549927 * P25
2 ^ 103 - 3 = 5 * 19 * P30
2 ^ 104 - 3 = 541 * 6719 * 517189 * P20
2 ^ 105 - 3 = 67 * 577 * 61845503 * P20
2 ^ 106 - 3 = 2327027 * P26
2 ^ 107 - 3 = 5 ^ 4 * 23 * 4253 * 64171 * 199454329 * P12
2 ^ 108 - 3 = 11 * 59 * 179 * 732541 * 4050515269 * P12
2 ^ 109 - 3 = 269 * 14137384767739 * P18
2 ^ 110 - 3 = 743 * 10607 * 2424173639 * P17
2 ^ 111 - 3 = 5 * 47 * 461 * 5344408051 * P19
2 ^ 112 - 3 = 13 * 12853 * P29
2 ^ 113 - 3 = 35059 * 261142642688159 * P16
2 ^ 114 - 3 = 613 * 997 * 134059067 * P21
2 ^ 115 - 3 = 5 * 97 * P32
2 ^ 116 - 3 = P35
2 ^ 117 - 3 = 29 * 4729 * 264331 * 120282553 * P17
2 ^ 118 - 3 = 11 * 23 * 314602944731641 * P19
2 ^ 119 - 3 = 5 * 859 * 6599 * 6096721 * 145439837 * P14
2 ^ 120 - 3 = 240092917 * 7330622487659 * P15
2 ^ 121 - 3 = 19 * 53 * 71 * 227789 * 11342549 * 1309722361 * P11
2 ^ 122 - 3 = P37
2 ^ 123 - 3 = 5 * 1493 * 30893 * 142537950773 * P18
2 ^ 124 - 3 = 13 ^ 2 * 57037 * 107940143 * P23
2 ^ 125 - 3 = 677639 * 3343986726389 * P20
2 ^ 126 - 3 = 61 * 48680521 * 44468757218783 * P15
2 ^ 127 - 3 = 5 ^ 2 * 213156431 * P29
2 ^ 128 - 3 = 11 * 6949 * P34
2 ^ 129 - 3 = 23 * 32985101 * P30
2 ^ 130 - 3 = 503 * 5351 * 253276501 * P25
2 ^ 131 - 3 = 5 * 167 * 58439 * P32
2 ^ 132 - 3 = 6553 * 94269781 * 493616351 * P20
2 ^ 133 - 3 = 545117501 * 1357110925031 * P20
2 ^ 134 - 3 = 37 * 47 * 959363 * 1175039 * 5083151 * P19
2 ^ 135 - 3 = 5 * 4010621 * 2921482252775351 * P18
2 ^ 136 - 3 = 13 * 7682053 * P33
2 ^ 137 - 3 = 379 * 441957092285486567 * P22
2 ^ 138 - 3 = 11 * 193 * 37099647146867 * P25
2 ^ 139 - 3 = 5 * 19 ^ 3 * 1873 * 16964327 * P27
2 ^ 140 - 3 = 23 * 48479 * 543253 * P31
2 ^ 141 - 3 = 80761 * 28619329 * 47208307 * P23
2 ^ 142 - 3 = 431 * 863 * 1933 * 646379 * 84815243 * 174212809 * P12
2 ^ 143 - 3 = 5 * 125471 * 588893 * 17883143 * P25
2 ^ 144 - 3 = 492729991333 * P32
2 ^ 145 - 3 = 29 * 51690246276649 * P29
2 ^ 146 - 3 = 2243 * 344954433409 * P30
2 ^ 147 - 3 = 5 ^ 2 * 2617 * 4339 * P36
2 ^ 148 - 3 = 11 * 13 * 1499 * 10991478767 * 72430290733 * P19
2 ^ 149 - 3 = 525241 * 288952921 * P31
2 ^ 150 - 3 = P46
2 ^ 151 - 3 = 5 * 23 * 499 * 3407 * 28536407 * 55859357 * P22
2 ^ 152 - 3 = 347 * 9154967 * 369257557261 * 406440380377 * P14
2 ^ 153 - 3 = 811076977 * 115705006919 * P27
2 ^ 154 - 3 = 83 * 2053 * 841534237 * 6388989769 * P23
2 ^ 155 - 3 = 5 * 1171 * P43
2 ^ 156 - 3 = 71 * 40813 * 82963182251 * P30
2 ^ 157 - 3 = 19 * 47 * 293 * 122131 * 459800923 * 1028244405143 * P17
2 ^ 158 - 3 = 11 * 1741 * 22921 * 21720748969 * P29
2 ^ 159 - 3 = 5 * 21767 * P43
2 ^ 160 - 3 = 13 * P48
2 ^ 161 - 3 = 14713037 * 35686050169513 * P28
2 ^ 162 - 3 = 23 ^ 2 * 806389 * 4094275561 * 3405843673319 * P18
2 ^ 163 - 3 = 5 * 97 * 106703 * 5245973 * 52188051944423 * P21
2 ^ 164 - 3 = 657831433172521 * P35
2 ^ 165 - 3 = 59573573 * 3218926687654133 * P27
2 ^ 166 - 3 = 59 * 16993 * P44
2 ^ 167 - 3 = 5 ^ 2 * 239 * 1061 * 15263 * P40
2 ^ 168 - 3 = 11 * 5935917445838898580501 * P28
2 ^ 169 - 3 = 101 * 8707 * P45
2 ^ 170 - 3 = 37 * 532155399791 * P38
2 ^ 171 - 3 = 5 * 67 * P49
2 ^ 172 - 3 = 13 * 709 * P48
2 ^ 173 - 3 = 23 * 29 * 53 * 627763583 * 65068129448961907 * P22
2 ^ 174 - 3 = P53
2 ^ 175 - 3 = 5 * 19 * 599 * 643 * 6091 * 84317 * 7401579957081337 * P21
2 ^ 176 - 3 = 107 * 5920151 * 47545643 * 12399411469 * P27
2 ^ 177 - 3 = 2399 * 2895504653 * P41
2 ^ 178 - 3 = 11 * 95308321 * P45
2 ^ 179 - 3 = 5 * 139 * 1747 * 2707 * 73851643113622993 * P28
2 ^ 180 - 3 = 47 * 171793 * 487057 * 1398713032993 * P30
2 ^ 181 - 3 = 197 * 4436227 * 5455535652212827 * P30
2 ^ 182 - 3 = 67993 * 1982471 * 2681951 * 307821083 * P29
2 ^ 183 - 3 = 5 * P55
2 ^ 184 - 3 = 13 * 23 * 191 * 383 * 769 * 92809 * P41
2 ^ 185 - 3 = 431 * 4297 * P50
2 ^ 186 - 3 = 61 * 659 * 1523 * 896073024780658093163 * P28
2 ^ 187 - 3 = 5 ^ 2 * 1733 * 486509 * 1307782724399 * P34
2 ^ 188 - 3 = 11 * 4668159781 * 243343180651407107 * P29
2 ^ 189 - 3 = 724291 * 793870123 * 398734514947051 * P28
2 ^ 190 - 3 = 10463 * 43379508764749 * 7210394113788491 * P24
2 ^ 191 - 3 = 5 * 71 * 745733 * 83641031 * 5731892549 * 160793976328607 * P18
2 ^ 192 - 3 = 402707629 * 936345229 * 2455688507 * P31
2 ^ 193 - 3 = 19 * 1129 * 11549 * P50
2 ^ 194 - 3 = 2699 * 716917 * 164556971 * P41
2 ^ 195 - 3 = 5 * 23 * 307 * P55
2 ^ 196 - 3 = 13 * 4703 * 4567178792867155379 * P36
2 ^ 197 - 3 = 1123 * 67079 * 693475275429886459 * P34
2 ^ 198 - 3 = 11 ^ 2 * 7602823916333414641 * P39
2 ^ 199 - 3 = 5 * 173 * 5065592899 * 4088485303349 * P35
2 ^ 200 - 3 = 1083167 * P55
2 ^ 201 - 3 = 29 * 12524333 * 1709776291 * 2012051169591546289 * P25
2 ^ 202 - 3 = 131 * 1702823 * P53
2 ^ 203 - 3 = 5 * 47 * 177135547 * P51
2 ^ 204 - 3 = 6359 * 1660921 * 971398283 * P43
2 ^ 205 - 3 = 1126397 * 8508294359 * P46
2 ^ 206 - 3 = 23 * 37 * 112921 * 369947 * 14056417 * 90762222332731247 * P25
2 ^ 207 - 3 = 5 ^ 3 * 2466836318741 * 31228565734542413 * P32
2 ^ 208 - 3 = 11 * 13 * 29667577 * 13276887732696587 * P37
2 ^ 209 - 3 = 8792772968923 * P50
2 ^ 210 - 3 = 171517 * P58
2 ^ 211 - 3 = 5 * 19 * 97 * 17597 * 372067 * 1079386087513 * P38
2 ^ 212 - 3 = 313 * 298247 * 6683979096811906038817 * P35
2 ^ 213 - 3 = P65
2 ^ 214 - 3 = 167 * 263 * 11941 * 178036681 * P48
2 ^ 215 - 3 = 5 * 409 * 28607 * 17727800312449442669 * P38
2 ^ 216 - 3 = 134289885133191774455219161 * P39
2 ^ 217 - 3 = 23 * 20357 * 520609 * 27448997 * 3340712790763 * 24228641648605033 * P18
2 ^ 218 - 3 = 11 * 3911 * 25309 * P57
2 ^ 219 - 3 = 5 * 1109 * 93606361 * 24120707450233 * P41
2 ^ 220 - 3 = 13 * 27107 * 224401 * 28510967100543541 * P39
2 ^ 221 - 3 = P67
2 ^ 222 - 3 = 7369 * 399381120863 * P52
2 ^ 223 - 3 = 5 * 39531679598684909 * 7219932501849077639 * P31
2 ^ 224 - 3 = 59 * 719 * 2843 * 40810607 * 80060593 * 121289041 * 7411627177 * P26
2 ^ 225 - 3 = 53 * 47977 * 5979468433 * 36078102492307 * P38
2 ^ 226 - 3 = 47 * 71 * 30149379844403 * P52
2 ^ 227 - 3 = 5 ^ 2 * 54959137 * 7695234889249 * 27524442229661643340579 * P24
2 ^ 228 - 3 = 11 * 23 * 431 * 839 * P61
2 ^ 229 - 3 = 19 * 29 * P67
2 ^ 230 - 3 = 2111 * 1248337 * P60
2 ^ 231 - 3 = 5 * 70608449251 * 5514857493461563297 * P40
2 ^ 232 - 3 = 13 * 9091429 * 296693701 * 1617973760402898397 * P36
2 ^ 233 - 3 = P71
2 ^ 234 - 3 = 193 * 128629163935135305863389 * P46
2 ^ 235 - 3 = 5 * 149 * 89476337239123097381 * 679964581067488744201 * P28
2 ^ 236 - 3 = 83 * 181 * 924431 * P61
2 ^ 237 - 3 = 67 * 325374653 * 2006179196378299 * 232701204127208890133 * P26
2 ^ 238 - 3 = 11 * 373 * 2381339 * 938216329971998766905592218497 * P32
2 ^ 239 - 3 = 5 * 23 * 73823 * 945293 * 16262545781347514679638489731 * P31
2 ^ 240 - 3 = 6195337 * 2544801971 * 60056986198034045688277 * P34
2 ^ 241 - 3 = 16313033404182510516032337025943 * P42
2 ^ 242 - 3 = 37 * 11867 * 973069 * 8984428909 * P52
2 ^ 243 - 3 = 5 * 411361 * 728317714302818867327 * P46
2 ^ 244 - 3 = 13 * P73
2 ^ 245 - 3 = 227569 * 237350760047 * 19397465184108787 * 68104694536632175459 * P21
2 ^ 246 - 3 = 61 * 220311942118928041 * 9840006786983985871967 * P33
2 ^ 247 - 3 = 5 ^ 2 * 19 * 311 * 85531 * 6329890867 * 164306354315429 * P41
2 ^ 248 - 3 = 11 * 359 * 1353641539373231 * P56
2 ^ 249 - 3 = 47 * 317 * 577 * 6553 * 16733716466594107 * P48
2 ^ 250 - 3 = 23 * 78791 * 126491 * 638437 * 2757229 * 3879709369 * 1784370949211 * 56479764760021 * P17
2 ^ 251 - 3 = 5 * 839935273 * P66
2 ^ 252 - 3 = 2447 * 1195237 * 24680865210563 * 9160621334095716479 * P35
2 ^ 253 - 3 = 211 * 8887633 * P67
2 ^ 254 - 3 = 3169 * 775417 * P68
2 ^ 255 - 3 = 5 * 76249 * 2334325349837775887 * 35022819447471575724417529 * P28
2 ^ 256 - 3 = 13 * 827 * 2378727047214130669846524503 * P46
2 ^ 257 - 3 = 29 * 12368329 * 894780877367681303 * P51
2 ^ 258 - 3 = 11 * 6210731 * P70
2 ^ 259 - 3 = 5 * 97 * 887 * 1201 * 394028502601 * P58
2 ^ 260 - 3 = 1093 * 83159400274297785198079511 * P50
2 ^ 261 - 3 = 23 * 71 * 1541429 * 3998086009 * 165677013259 * P49
2 ^ 262 - 3 = 2531 * 18297371 * P69
2 ^ 263 - 3 = 5 * 163 * 1301 * 1438973 * 6074209 * 353928429346379538312047 * P37
2 ^ 264 - 3 = 479 * 1610614586629 * 646331408339017 * 2468805189692613383 * P32
2 ^ 265 - 3 = 19 * 28169668365514824313533817 * P54
2 ^ 266 - 3 = P81
2 ^ 267 - 3 = 5 ^ 2 * 76147 * 61439128812245652837643 * P52
2 ^ 268 - 3 = 11 * 13 * 1012463 * 4614937 * 2005011971377880786999 * P45
2 ^ 269 - 3 = 101 * 4852089454632376114362058674979 * P49
2 ^ 270 - 3 = 2070970943 * P72
2 ^ 271 - 3 = 5 * 389 * 431 * 15601 * P72
2 ^ 272 - 3 = 23 * 47 * 227 ^ 2 * 193627741 * 355354013180483 * P52
2 ^ 273 - 3 = 56713 * P78
2 ^ 274 - 3 = 3010129932806653075210619 * P59
2 ^ 275 - 3 = 5 * 8112467497373 * 17473133508259417 * 55707666628406193993749711 * P28
2 ^ 276 - 3 = 2267 * 15794983571 * 7172895177104937152863597 * P45
2 ^ 277 - 3 = 53 * 4243 * 762121 * 1003679 * 3987439901 * 18595208925812646433 * P38
2 ^ 278 - 3 = 11 * 37 * 914273809 * P73
2 ^ 279 - 3 = 5 * 191 * 10783909039190448384076829 * P56
2 ^ 280 - 3 = 13 ^ 2 * 635471 * 467076998869382610055641790646483 * P44
2 ^ 281 - 3 = 408671387943108191027688932927 * P55
2 ^ 282 - 3 = 59 * 107 * 2027 * P78
2 ^ 283 - 3 = 5 * 19 * 23 * 33401182656546939431 * P63
2 ^ 284 - 3 = 1151 * 20593 * 159088717 * 5863552324458682514663 * P49
2 ^ 285 - 3 = 29 * 4799 * 6581 * 8693 * 120991748587 * 2232029057429999772325729 * P38
2 ^ 286 - 3 = 179 * 239 * 55487 * 85210324931 * 1965027863636852423 * P48
2 ^ 287 - 3 = 5 ^ 2 * 327409 * 864379 * 254430601151 * P63
2 ^ 288 - 3 = 11 * 814511080859279290881044293 * P59
2 ^ 289 - 3 = 283661761 * 4892484882635243932925079390383 * P48
2 ^ 290 - 3 = 173099 * 89995345026697224657610733041 * P54
2 ^ 291 - 3 = 5 * 1367 * 35831 * 521306562706373 * P65
2 ^ 292 - 3 = 13 * 1381 * 16487 * 82981 * 205201 * 460403 * 751823 * 5951987 * 5145203886299 * P39
2 ^ 293 - 3 = 1218222829032475271 * P71
2 ^ 294 - 3 = 23 * 7177 * 20082674063 * 792711567467 * 55611835363244816598049055327 * P33
2 ^ 295 - 3 = 5 * 47 * 907 * 2107247 * 12702119 * 1722555295763375455935380712901061 * P37
2 ^ 296 - 3 = 71 * 1307 * 154481291 * P76
2 ^ 297 - 3 = 167 * 307 * 523 * 90754516729378655041596518735170095841301 * P42
2 ^ 298 - 3 = 11 * 2293 * 37019 * 193974899 * 1219572494713 * P61
2 ^ 299 - 3 = 5 * 67379848956163 * P76
2 ^ 300 - 3 = 35963 * 146742523486840382183999989 * P60
2 ^ 301 - 3 = 19 * 883 * 142796149921 * 428552549207 * 382536557939737 * P50
2 ^ 302 - 3 = 38295395291 * 71780231584568007924329281673352462589 * P43
2 ^ 303 - 3 = 5 * 67 ^ 2 * 266736095800247 * P73
2 ^ 304 - 3 = 13 * 4079 * 22619 * 71699 * 16201904867 * 713032971668702776823 * P47
2 ^ 305 - 3 = 23 * 5152877 * 19995970174390871 * P68
2 ^ 306 - 3 = 61 * 10413484793447 * 5350195737585157 * 63991069681287923 * P45
2 ^ 307 - 3 = 5 ^ 3 * 97 * 11227967684347323210515472789049 * P58
2 ^ 308 - 3 = 11 ^ 2 * 1387261 * 40505175556669 * 7215518946010484882989 * P50
2 ^ 309 - 3 = 38574703984573103371512711073 * P65
2 ^ 310 - 3 = 1020323673963442421913200197 * 493063029808125756125671092299 * P37
2 ^ 311 - 3 = 5 * 43992702287946853060181 * 425911341025211590220887061323 * P41
2 ^ 312 - 3 = 17497 * 443819209799560554046755741433 * P61
2 ^ 313 - 3 = 29 * P93
2 ^ 314 - 3 = 37 ^ 2 * 431 * 8641 * P85
2 ^ 315 - 3 = 5 * 559367 * 2971753833852173 * 99608838358476274823 * P53
2 ^ 316 - 3 = 13 * 23 * 334777 * 8996279931520052632273700373657081657400943 * P45
2 ^ 317 - 3 = 139 * 499 * 174702901260684479 * 1106960888484257247788540139339889 * P41
2 ^ 318 - 3 = 11 * 47 * 83 * 443 * P89
2 ^ 319 - 3 = 5 * 19 * 9337 * 208904364873695653640857 * P67
2 ^ 320 - 3 = 491 * 4283 * 144973 * 494214037 * 99051844820307092996363 * P54
2 ^ 321 - 3 = 5851 * 1420928827 * 621787779967391 * 1023418120671943985309449808639 * P39
2 ^ 322 - 3 = 2553431 * 231089527397591623981729189 * P65
2 ^ 323 - 3 = 5 * 12379 * 91921 * 1025897933 * P79
2 ^ 324 - 3 = 1037941 * 255270716456548261324251205559596821763131527 * P48
2 ^ 325 - 3 = 2063 * 58771 * 5306432185094222641969 * 3811367502490686722110413908039 * P38
2 ^ 326 - 3 = 1012751214679275853 * 1395764396213336651195557 * 6287164396717519950416218849 * P29
2 ^ 327 - 3 = 5 ^ 2 * 23 * 2325677 * 2218600699391 * 3254666370927966067 * P59
2 ^ 328 - 3 = 11 * 13 * 38713 * 629243 * 29132809505068739198110279804785450491401 * P46
2 ^ 329 - 3 = 53 * 287966117 * 1099418686870030528465346815926137045597 * P50
2 ^ 330 - 3 = 193 * 2988941695645333 * 33616453482269064732346057471383601 * P48
2 ^ 331 - 3 = 5 * 71 * 21351457 * 27413131 * 112466414431139161061090899674600354779909 * P42
2 ^ 332 - 3 = 131 * 74101 * 90373 * 4254671 * 96933853031774755147381 * P59
2 ^ 333 - 3 = 133201 * 13702891 * 25111036567277 * P75
2 ^ 334 - 3 = 142744067 * 4229582544011851001472467026469803524411684623 * P47
2 ^ 335 - 3 = 5 * 2451864926947926743858022293 * P73
2 ^ 336 - 3 = P102
2 ^ 337 - 3 = 19 * 2623500702831278879836546439 * P73
2 ^ 338 - 3 = 11 * 23 * 58043 * 6280927242771717963871853688733888381 * P58
2 ^ 339 - 3 = 5 * 3927735043104911 * 9892944588073462155701 * 690438868460168807069128544641 * P34
2 ^ 340 - 3 = 13 * 59 * 7867974781 * 459998610885409 * 42934698791181969702097 * P53
2 ^ 341 - 3 = 29 * 47 ^ 2 * 405098940259654367 * 967607585115031123 * 80876726183988856555561 * P40
2 ^ 342 - 3 = 121883 * 886069 * 169795538911993 * P78
2 ^ 343 - 3 = 5 * 342337 * 1141260047 * 366997043512367 * P74
2 ^ 344 - 3 = 2677 * P101
2 ^ 345 - 3 = 263 * 23857 * 13366909715386301 * P81
2 ^ 346 - 3 = 1132679 * 43608857150941 * 2978423237423926094850303848484148583 * P48
2 ^ 347 - 3 = 5 ^ 2 * 584925382247 * 40732694071583 * 625894744932915697 * P60
2 ^ 348 - 3 = 11 * 1069007 * 684832103208940705100437 * P74
2 ^ 349 - 3 = 23 * 2377 * 8663 * 202327417 * 48360889537555657 * 110048913404115597269 * P52
2 ^ 350 - 3 = 37 * 1021 * 65651 * 83722007 * P89
2 ^ 351 - 3 = 5 * 4943 * 542761 * 8575312631 * 59460551107 * 6172263048823987 * P60
2 ^ 352 - 3 = 13 * 3467 * 60539 * 216290767494580105749439995213779 * P65
2 ^ 353 - 3 = 703559 * 7245437122711009965163568964007507 * P67
2 ^ 354 - 3 = 762973 * 675261373 * 959656547 * 50957739505114121056172527148352233399 * P46
2 ^ 355 - 3 = 5 * 19 * 97 * 181831343461147 * 18125258135569469 * 7616559214204794954263 * P51
2 ^ 356 - 3 = 5039 * 298623030107 * 126336221587552768343 * P72
2 ^ 357 - 3 = 431 * 147221 * 31162915585351601453 * P81
2 ^ 358 - 3 = 11 * 2050079 * 2142483159294348778194768083 * P74
2 ^ 359 - 3 = 5 * 227977 * 208158139901678900639 * P82
2 ^ 360 - 3 = 23 * 55093847 * 41796712560061990387616559076371659 * P65
2 ^ 361 - 3 = 160967 * 1063530250855032071 * 819098559335588082968015787443572142507741 * P44
2 ^ 362 - 3 = 6563 * 39373 * 130288297 * 76165491131 * 37977366300755020800789839 * P56
2 ^ 363 - 3 = 5 * 11113 * 138854279 * 2400272692181400471048553308908676471974831 * P55
2 ^ 364 - 3 = 13 * 47 * 56676267937 * 74444432696863166163159297372704640535319361649 * P50
2 ^ 365 - 3 = 17381180272343 * P97
2 ^ 366 - 3 = 61 * 71 * 6553 * 830989 * 17171045401 * 56369576663 * P76
2 ^ 367 - 3 = 5 ^ 2 * 17108801336966237 * 156475917638414193659731 * P70
2 ^ 368 - 3 = 11 * 313 * 2099 * 3299 * 7717278301105921 * 398539971564054634091324784107518476839 * P46
2 ^ 369 - 3 = 29 * 67 * 101 * 285749 * 8455372819 * 2973320841251983991 * 10602216116937576833712691753 * P44
2 ^ 370 - 3 = 306471187290623 * 17071133716911733219175555196212082358381 * P57
2 ^ 371 - 3 = 5 * 23 * 173 * 24691 * 3457672453692029440388236299509 * 3002547228938936701706019867019417 * P39
2 ^ 372 - 3 = 17257 * 47191536089033364120203074751 * P80
2 ^ 373 - 3 = 19 * 2542733 * 6055363 * P98
2 ^ 374 - 3 = 191 * 349 * 51419 * 22181024939 * 837619305517 * 7891370185472217204731 * P59
2 ^ 375 - 3 = 5 * 383 * 36156531078571 * 37676387643446417548218721548688450214097100901 * P50
2 ^ 376 - 3 = 13 * 829 * 30202132961053 * P96
2 ^ 377 - 3 = 197 * 269 * 7461876941 * 1644279402762372864247382666558426081819388211 * P54
2 ^ 378 - 3 = 11 * 16341898571 * P103
2 ^ 379 - 3 = 5 * 203549 * 6157469 * 32889892726645367017218258349811427072016633 * P58
2 ^ 380 - 3 = 167 * 18973 * 175261969 * P100
2 ^ 381 - 3 = 53 * 503 * 68443 * 3151849 * P99
2 ^ 382 - 3 = 23 * 1993 * 857978657941 * 889562701810729 * P84
2 ^ 383 - 3 = 5 * 149 * 4561556144335781 * P97
2 ^ 384 - 3 = 247463 * 1905526244857 * 47642671925883563 * P82
2 ^ 385 - 3 = 59159 * 20695986629 * P101
2 ^ 386 - 3 = 37 * 685859 * P109
2 ^ 387 - 3 = 5 ^ 2 * 47 * 1867 * 12653 * 93422235935075923243 * 249572856138982840494635971 * P60
2 ^ 388 - 3 = 11 * 13 * 107 * 3769981 * 6872149 * 126641156481949 * 116672957950763087 * P69
2 ^ 389 - 3 = 643 * 24267450450167 * 19135823522009296186537 * P79
2 ^ 390 - 3 = 135661 * 2193675298973661770483 * 2583343451623113818087 * P70
2 ^ 391 - 3 = 5 * 19 * 36839107 * 481807354421 * 2392324154021 * 81279201572025019243227529 * 5648549178740643177675501911 * P31
2 ^ 392 - 3 = 43103 * 4573931 * 37806407 * 2490394382626116962773 * 113541389754172118760107 * P55
2 ^ 393 - 3 = 23 * 577 * 3527 * 58779169 * 3217462627829 * 8480995105848584567 * P72
2 ^ 394 - 3 = 1847 * 2940407 * P109
2 ^ 395 - 3 = 5 * 460349 * 16526687 * 3231863039 * 47887686403 * P86
2 ^ 396 - 3 = 1907 * 148742372769197293 * P99
2 ^ 397 - 3 = 29 * 120917 * 12729282619 * 2714364343966141626667 * P82
2 ^ 398 - 3 = 11 * 59 * 178375100862475043 * 1187442187494910619910109 * P76
2 ^ 399 - 3 = 5 * 307 * 8617993613145587548081 * 12436869652119496796811336931 * P67
2 ^ 400 - 3 = 13 * 83 * 431 * 270073 * P110
2 ^ 401 - 3 = 71 * 49633 * 880109 * 1244037259 * 4011420496099 * 103544716454471962363486593661854048165307 * P46
2 ^ 402 - 3 = 311 * 280813976438545201 * P102
2 ^ 403 - 3 = 5 * 97 * 647 * 7329959761 * 89359746292808325758312207415821 * P75
2 ^ 404 - 3 = 23 * 421 * 1297 * 2341 * 128951 * 17794012391 * 24574170443 * 382587349342405931 * 198301580776425564262089703586219 * P36
2 ^ 405 - 3 = 239 * 47659 * 2257903157899 * 91809408513237340363897 * 11688482747880862057969105595491003 * P46
2 ^ 406 - 3 = 2711 * 3738529 * 155660402448415561 * P96
2 ^ 407 - 3 = 5 ^ 3 * 4711051 * 355060723 * 1111786129 * 103435275294192621780558466867998914136689468521 * P50
2 ^ 408 - 3 = 11 * 4930850559013 * 103415699121898214330896503277837 * 140427552224822587240226243657413 * P45
2 ^ 409 - 3 = 19 * 13560842578291 * 53935347980316917 * 3299006856200945021104591373196989 * P59
2 ^ 410 - 3 = 47 * 1718867 * 417286945060798787677651787076463091 * P80 Artur Jasinski, Apr 12 2010
2 ^ 411 - 3 = 5 * 1151311564824077 * 947698612245665779090633 * P84
2 ^ 412 - 3 = 13 * 17198123 * 1116483028510261 * 9709207152451230583110083211949 * P70
2 ^ 413 - 3 = 6917381 * 90231457 * 5766225841 * 39917177639 * P90
2 ^ 414 - 3 = 90285736814997565403166502129 * 1704230690158135959311890750052977 * P63
2 ^ 415 - 3 = 5 * 23 ^ 2 * 109554471368543 * P108
2 ^ 416 - 3 = 181 * 393517 * 28646807963 * 29856604090238568929440265201046746234024034751941781 * P55 Artur Jasinski, Apr 12 2010
2 ^ 417 - 3 = 306239 * 16859134469 * 19120441431973645465661 * P88
2 ^ 418 - 3 = 11 ^ 2 * 28342789 * 37340353 * 2078378631504452759994833650494782514100776402886204453 * P55 Artur Jasinski, Apr 12 2010
2 ^ 419 - 3 = 5 * 409 * P123
2 ^ 420 - 3 = 8233 * 262237 * 536410409401737044081943615276831304553469893960781097 * P64 Artur Jasinski, Apr 12 2010
2 ^ 421 - 3 = 15667 * 63715065523 * 1346677223404983904992079609897 * P82
2 ^ 422 - 3 = 37 * P126
2 ^ 423 - 3 = 5 * 17496891354167 * 543764311632794935801 * 153741937338793119163681 * 188094841670011947569299 * P47
2 ^ 424 - 3 = 13 * 120011 * 26048744017 * 10988647885729 * 7600966381288451 * 120690098573797458877 * 781197759397019273255788319 * P36
2 ^ 425 - 3 = 29 * 163 * 67033 * P120
2 ^ 426 - 3 = 23 * 61 * 193 * 9491 * 16811 * 67967 * 4948962611 * 140846432923642609 * 3795334481316522601619 * 1235261065222722301578637 * P38
2 ^ 427 - 3 = 5 ^ 2 * 19 * 359 * 2642898983 * 10048360673848713493042307965079 * P83
2 ^ 428 - 3 = 11 * 57749306386124508385375657 * 22023305280491157331638694288443777227504864484263 * P53 Artur Jasinski, Apr 12 2010
2 ^ 429 - 3 = 547 * 701 * 53089 * 28983293803 * 107447438471315851 * P92
2 ^ 430 - 3 = 324889 * P124
2 ^ 431 - 3 = 5 * 4089005252863463137901 * 977608633336035856173804530590583 * P75
2 ^ 432 - 3 = 191137 * 35993755912541024932357 * 1700841709144147146903916668471634223 * P66 Artur Jasinski, Apr 12 2010
2 ^ 433 - 3 = 47 * 53 * 3945989204928503 * 200790784949690111093 * P92
2 ^ 434 - 3 = 855191 * 10425299886308922993469442963 * 51005695537129448954687266946029 * P65
2 ^ 435 - 3 = 5 * 67 * 557 * 12073 * 17192107 * 86828981423 * P104
2 ^ 436 - 3 = 13 ^ 2 * 71 * 7628632237 * 170916527350272568957925309925338280398277734030688649 * P65 Artur Jasinski, Apr 12 2010
2 ^ 437 - 3 = 23 * 41399 * 17266493 * 52858911166661 * 5597110599246409 * 605408840557818653 * 294689338316802614763325388117 * P42
2 ^ 438 - 3 = 11 * 2797489 * 33913845629088961 * 2242584843694837323840253 * 456720204670327550132723408096932829892073 * P42
2 ^ 439 - 3 = 5 * 146477718872837729629232697629222679981537690143 * P85
2 ^ 440 - 3 = 29629 * 50891 * 1011900056437 * 21845146141234998091058827418016555112729 * P71
2 ^ 441 - 3 = 96739 * 14202313 * 49033423846987 * 4534770146914915584673 * 1685384774371294113660692958938985147290837 * P44
2 ^ 442 - 3 = 21555491 * 36445716077074486110720229 * P101
2 ^ 443 - 3 = 5 * 431 * 653 * 10072603003338769 * 159553770179207704757 * P92
2 ^ 444 - 3 = 15651007516717 * 148737562966714871 * 3363265544404332068003 * 738700390795231347532218613341212423 * P46
2 ^ 445 - 3 = 19 * 1511 * 4361251 * 7522776409 * 78435870553 * 655208420164538227629326631432993581 * P67 Mitchell Dickerman, Apr 20 2010
2 ^ 446 - 3 = 997 * 1235203710337 * P120
2 ^ 447 - 3 = 5 ^ 2 * 1997 * 366055043032778499793 * 399531488887616229258352616692028497051 * P71 Mitchell Dickerman, May 5 2010
2 ^ 448 - 3 = 11 * 13 * 23 * P132
2 ^ 449 - 3 = 293 * 3512737 * 1578629691196811029459 * 69247262936796662256127114027 * 2427246996006119488322073413398291 * P43
2 ^ 450 - 3 = 467 * 165361736526359720223875298899 * P104
2 ^ 451 - 3 = 5 * 97 * 113759 * 184096609 * P120
2 ^ 452 - 3 = P137
2 ^ 453 - 3 = 29 * 496650301589353487 * 4064859151929054652543006939 * P90
2 ^ 454 - 3 = 5531 * 7499 * 982076987 * 71978658806399 * P107
2 ^ 455 - 3 = 5 * 139 * 2161 * 34511 * 48595051 * P119
2 ^ 456 - 3 = 47 * 59 * 25511557667 * P124
2 ^ 457 - 3 = 1814809 * 1373135428567703 * 2836115868433129 * P101
2 ^ 458 - 3 = 11 * 37 * 45946509338209 * 1346360965483520341 * 17490993008611377993733 * P82
2 ^ 459 - 3 = 5 * 23 * 18081601 * 235962743 * 1173160637856460796918398871 * P94
2 ^ 460 - 3 = 13 * 5113 * 6489311 * 24143879898133 * 480323812817292398089 * P93
2 ^ 461 - 3 = 67801 * P134
2 ^ 462 - 3 = 131 * 41603 * 2944847 * 633311293 * 37259369739335244741708817245167740344287930423639 * P68 Mitchell Dickerman, May 10 2010
2 ^ 463 - 3 = 5 * 19 * 167 * 211 * 1101982040679065617 * 3369564638335616257 * 84961103341531646780026752185365412017572499 * P53
2 ^ 464 - 3 = 179 * 2909234423 * 276653711560858211 * 209751163849202090762076111359 * P82
2 ^ 465 - 3 = 205559 * 2551657 * 86529757303506601927395209168670061442722183006542771363721 * P70
2 ^ 466 - 3 = 119397321897121285057 * 7962441296940608007053723 * 19425934370847406359152753136911 * P65
2 ^ 467 - 3 = 5 ^ 2 * 8831 * 5752619549 * 972862497964453851452309 * 42444155080969861353856985862901118183 * P64
2 ^ 468 - 3 = 11 * 194430953454827442977675120843 * P111
2 ^ 469 - 3 = 101 * 191 * 272011 * 1238789 * 55752832412187606453773302063285257933533 * P85
2 ^ 470 - 3 = 23 * 17163253 * P133
2 ^ 471 - 3 = 5 * 71 * 5016607880537887382568403 * P115
2 ^ 472 - 3 = 13 * 22367 * 14833352459677811 * 3768044706553661052459271380111809425473387919443685501 * P66
2 ^ 473 - 3 = 2789 * 53923 * P135
2 ^ 474 - 3 = 599 * 853 * 6551 * 7668757 * 64199507 * 274311139054784940674867694885096490198537744565531 * P69
2 ^ 475 - 3 = 5 * P143
2 ^ 476 - 3 = 263 * 15227 * 247633 * 68859742075955405672535818664606551 * P97
2 ^ 477 - 3 = 81043 * P139
2 ^ 478 - 3 = 11 * 587 * 983 * P138
2 ^ 479 - 3 = 5 * 47 * 677 * 613493 * 59309996879049282649291084690926487561219 * P93
2 ^ 480 - 3 = 138345565272589 * P131
2 ^ 481 - 3 = 19 ^ 2 * 23 * 29 * 743 * 1926289 * 221723365488509 * 1739727182020280585878393 * P92
2 ^ 482 - 3 = 83 * 4261 * 93827 * 6903847331 * 8624800220638959636092591598430717 * P91 Artur Jasinski, Apr 13 2010
2 ^ 483 - 3 = 5 * 499 * 2251 * 6553 * 4216801 * 24406141134561386173972215027523 * P97
2 ^ 484 - 3 = 13 * 9227 * 757943 * 23531617 * 2112267838088241181 * 59199774342725180082334357 * P84
2 ^ 485 - 3 = 53 ^ 2 * 2285189 * 5351237 * 130166407115741105132742556824466265630151260716462422214638983 * P68
2 ^ 486 - 3 = 61 * 431 * 1031 * 22307867 * P132
2 ^ 487 - 3 = 5 ^ 2 * 4527680738894600387803 * 1124157956376658750999882183516284935716811606908627 * P73
2 ^ 488 - 3 = 11 * 863778163766953 * P131
2 ^ 489 - 3 = 178489 * 13133529605971 * 24555966990623 * 401184483140497675538299609913569 * P83 Artur Jasinski, Apr 13 2010
2 ^ 490 - 3 = 16103 * 37904855204059329610280223123595703335487 * P103
2 ^ 491 - 3 = 5 * 18719 * 660403 * 24237013142763851967282571961832725125679 * P97
2 ^ 492 - 3 = 23 * 28537 * 52333577025747383 * P126
2 ^ 493 - 3 = 139278859645633 * 1550824080252684483296648879 * 1389198284813694164371500568125988604227 * P68 Mitchell Dickerman, Apr 20 2010
2 ^ 494 - 3 = 37 * 107 * 670931 * 9220088340370681 * 10803059473606251612021125394757970591 * P87 Mitchell Dickerman, May 5 2010
2 ^ 495 - 3 = 5 * 9326233901074667909 * 402561339070978516413552303105317601207881492063 * P82
2 ^ 496 - 3 = 13 * 145968140016941579636236421823334479474194482633 * 7165530937505470491891596358637054856808404147641 * P53
2 ^ 497 - 3 = 8779 * 534101 * 985181 * 4162316449199 * 223350898754572858436810142029897639867183711721580343 * P68
2 ^ 498 - 3 = 11 * 227 * 347 * 16491301 * 11814579001 * 57257593303370331922530119 * P101
2 ^ 499 - 3 = 5 * 19 * 97 * 884727121 * 1609130740656289029777350457697 * P108
2 ^ 500 - 3 = 1487 * 13834731639849001501702151 * 8635274214318223292229209580127047729709534742483 * P74 Mitchell Dickerman, May 5 2010
2 ^ 501 - 3 = 67 * 307 * 11923 * 28411 * 59706919626872238662024231 * 1055874440725495052253132499130712449101086520066929547 * P59
2 ^ 502 - 3 = 47 * 2454190230369689719308856799 * P123
2 ^ 503 - 3 = 5 * 23 * 479 * 8377 * 660105527 * 18278316868406623407055508189 * 387994463448418142847532674398868744648576913 * P62

Hardest complete factorization: second-largest factor has 68 digits
2 ^ 504 - 3 = 26868453116519157605976825669669971330291436413316489246648839815571 * P85

2 ^ 505 - 3 = 1397909 * 169721480268840587061180050902372583 * P111
2 ^ 506 - 3 = 71 * 17581 * 47581 * 1053301 * 16458855384121979 * 7905340824189192502078096028360544713592289 * P77
2 ^ 507 - 3 = 5 ^ 3 * 10557371295413731277 * 613599808013402476132065660299401 * 8871675569469864096527263147960041799637 * P59
2 ^ 508 - 3 = 11 * 13 * 3373 * 10452023 * 1469971353401528708496939844333311962437 * 42194383419453207206577836270946259613317 * P61
2 ^ 509 - 3 = 29 * P152
2 ^ 510 - 3 = 128351 * 12003385080045195658860294809331108353288219 * P106
2 ^ 511 - 3 = 5 * 287597 * 68007575107 * 8841562936993 * 479043232584503 * 1207503910919923670796409709351 * P80
2 ^ 512 - 3 = 72623 * 102772308896213303 * 24688655235507248348411949411578777219 * P95
2 ^ 513 - 3 = 5573 * 33609313 * 48047017 * 353120591 * 6940956729193 * 7534476830480673486735937 * 2687914233711698441294243077759606261531 * P50
2 ^ 514 - 3 = 23 * 59 ^ 2 * 3769 * 12223217961467908523 * 19281477325812867726144752822280212433776030425369 * P78
2 ^ 515 - 3 = 5 * 379 * 2039 * 1048009 * 592970219169968907976631799924258009193 * P104
2 ^ 516 - 3 = 100327321 * 3109069065686261751456448039694636086321043 * P105
2 ^ 517 - 3 = 19 * 509 * 138461 * 24053252594197744441884791 * 2715395472211431571186008939560182487830418137 * P76
2 ^ 518 - 3 = 11 * 419 * 3853089311 * 8251504704598659186959 * P121
2 ^ 519 - 3 = 5 * 2179 * 12149 * 77897840333 * 161814862895167387 * 10037944141879541822525941291 * P93
2 ^ 520 - 3 = 13 * 1091 * 7019 * 556069 * 11756629286331474787752276991007467859787390100465905675068085131 * P79
2 ^ 521 - 3 = 5296777 * 6339704466311 * 1265870632744692366709980462123357518003195778883 * P90
2 ^ 522 - 3 = 193 * 254879 * 45808967 * P142
2 ^ 523 - 3 = 5 * 2705951711 * 382163015381982533 * 10001973893095947987907 * 393255032213450304716374555105953077354798448283 * P61
2 ^ 524 - 3 = 239 * 313 * 545104981 * 5696658563 * 27295934830391472428568407609473 * P103


2ⁿ+3

2 ^ 1 + 3 = 5
2 ^ 2 + 3 = 7
2 ^ 3 + 3 = 11
2 ^ 4 + 3 = 19
2 ^ 5 + 3 = 5 * 7
2 ^ 6 + 3 = 67
2 ^ 7 + 3 = 131
2 ^ 8 + 3 = 7 * 37
2 ^ 9 + 3 = 5 * 103
2 ^ 10 + 3 = 13 * 79
2 ^ 11 + 3 = 7 * 293
2 ^ 12 + 3 = 4099
2 ^ 13 + 3 = 5 * 11 * 149
2 ^ 14 + 3 = 7 * 2341
2 ^ 15 + 3 = 32771
2 ^ 16 + 3 = 65539
2 ^ 17 + 3 = 5 ^ 2 * 7 ^ 2 * 107
2 ^ 18 + 3 = 262147
2 ^ 19 + 3 = 29 * 101 * 179
2 ^ 20 + 3 = 7 * 163 * 919
2 ^ 21 + 3 = 5 * 59 * 7109
2 ^ 22 + 3 = 13 * 19 * 16981
2 ^ 23 + 3 = 7 * 11 * 108943
2 ^ 24 + 3 = 1549 * 10831
2 ^ 25 + 3 = 5 * 6710887
2 ^ 26 + 3 = 7 * 9586981
2 ^ 27 + 3 = 4057 * 33083
2 ^ 28 + 3 = 268435459
2 ^ 29 + 3 = 5 * 7 * 1901 * 8069
2 ^ 30 + 3 = P10
2 ^ 31 + 3 = 83 * 1277 * 20261
2 ^ 32 + 3 = 7 * 613566757
2 ^ 33 + 3 = 5 * 11 ^ 3 * 577 * 2237
2 ^ 34 + 3 = 13 * 463 * 2854273
2 ^ 35 + 3 = 7 * P10
2 ^ 36 + 3 = 61 * 523 * 2154013
2 ^ 37 + 3 = 5 ^ 2 * 35573 * 154543
2 ^ 38 + 3 = 7 ^ 2 * P10
2 ^ 39 + 3 = 63727 * 8626733
2 ^ 40 + 3 = 19 * P11
2 ^ 41 + 3 = 5 * 7 * P11
2 ^ 42 + 3 = 307 * P11
2 ^ 43 + 3 = 11 * 53 * 97 * 155542661
2 ^ 44 + 3 = 7 * 37 * 937 * 72490393
2 ^ 45 + 3 = 5 * P13
2 ^ 46 + 3 = 13 ^ 2 * P12
2 ^ 47 + 3 = 7 * 29 * P12
2 ^ 48 + 3 = 853 * P12
2 ^ 49 + 3 = 5 * 79 * P13
2 ^ 50 + 3 = 7 * 3435997 * 46811113
2 ^ 51 + 3 = 967 * 3967 * 4547 * 129097
2 ^ 52 + 3 = 373 * P14
2 ^ 53 + 3 = 5 * 7 * 11 * 1187 * P11
2 ^ 54 + 3 = 1422061 * P11
2 ^ 55 + 3 = P17
2 ^ 56 + 3 = 7 * 11251 * P12
2 ^ 57 + 3 = 5 ^ 3 * 79613 * P11
2 ^ 58 + 3 = 13 * 19 * P16
2 ^ 59 + 3 = 7 ^ 2 * 5531 * 93251 * 22809539
2 ^ 60 + 3 = 103 * 48920869 * 228806497
2 ^ 61 + 3 = 5 * P18
2 ^ 62 + 3 = 7 * P18
2 ^ 63 + 3 = 11 * 271 * 439 * P13
2 ^ 64 + 3 = 467443687 * P11
2 ^ 65 + 3 = 5 * 7 * 11239 * 88801 * P10
2 ^ 66 + 3 = 1669 * P17
2 ^ 67 + 3 = P21
2 ^ 68 + 3 = 7 * 499 * 643 * 27427 * P10
2 ^ 69 + 3 = 5 * 418427 * P15
2 ^ 70 + 3 = 13 * 25087 * P16
2 ^ 71 + 3 = 7 * 1714488917 * P12
2 ^ 72 + 3 = 67 * 1531 * P17
2 ^ 73 + 3 = 5 * 11 * P21
2 ^ 74 + 3 = 7 * 2239 * 28591 * P14
2 ^ 75 + 3 = 29 * 491 * 8823611 * P12
2 ^ 76 + 3 = 19 * P22
2 ^ 77 + 3 = 5 ^ 2 * 7 * 389 * P19
2 ^ 78 + 3 = 1093 * 31039 * P16
2 ^ 79 + 3 = 59 * 701 * 55134031 * P12
2 ^ 80 + 3 = 7 ^ 2 * 37 * 1297 * 71257453 * P10
2 ^ 81 + 3 = 5 * 7786567 * 72115903 * 861157471
2 ^ 82 + 3 = 13 * 1987 * 20551 * P16
2 ^ 83 + 3 = 7 * 11 * 197 * 69439 * P16
2 ^ 84 + 3 = P26
2 ^ 85 + 3 = 5 * 199 * 2579 * P20
2 ^ 86 + 3 = 7 * 1453 * 13873 * P18
2 ^ 87 + 3 = 676348286641 * P15
2 ^ 88 + 3 = 79 * 24516361 * P18
2 ^ 89 + 3 = 5 * 7 * 11411 * 296131229 * P13
2 ^ 90 + 3 = 193 * 1879 * 22546069333 * P12
2 ^ 91 + 3 = 97 * 317 * 5064708073 * P14
2 ^ 92 + 3 = 7 * 4324669 * 427003897 * P12
2 ^ 93 + 3 = 5 * 11 * 32713 * P22
2 ^ 94 + 3 = 13 * 19 * 681943 * 7941336391 * P11
2 ^ 95 + 3 = 7 * 53 * 1256975857 * P17
2 ^ 96 + 3 = 61 * 5323 * 680623 * P18
2 ^ 97 + 3 = 5 ^ 2 * 443 * 487 * 1451 * 9917839 * P13
2 ^ 98 + 3 = 7 * 6073 * P25
2 ^ 99 + 3 = 693961 * P24
2 ^ 100 + 3 = 17081473 * P23
2 ^ 101 + 3 = 5 * 7 ^ 2 * 727 * 3919 * P22
2 ^ 102 + 3 = 266137 * 80178618589 * P15
2 ^ 103 + 3 = 11 * 29 * 3203 * 392812373 * P17
2 ^ 104 + 3 = 7 * 16299828403 * P21
2 ^ 105 + 3 = 5 * 3366832876777 * P19
2 ^ 106 + 3 = 13 * 6951403 * 306673771 * P16
2 ^ 107 + 3 = 7 * 473531 * P26
2 ^ 108 + 3 = 2251 * 21871 * 33247 * 2603677 * P14
2 ^ 109 + 3 = 5 * 1201 * 28976429 * P22
2 ^ 110 + 3 = 7 * 139 * 11497 * P27
2 ^ 111 + 3 = 103 * 12919 * 484489 * P22
2 ^ 112 + 3 = 19 * 1862683 * P27
2 ^ 113 + 3 = 5 * 7 * 11 * 83 * 173 * 409 * 941 * 716415251 * P13
2 ^ 114 + 3 = 8812124677 * P25
2 ^ 115 + 3 = 28343271991 * P25
2 ^ 116 + 3 = 7 * 37 * P33
2 ^ 117 + 3 = 5 ^ 2 * 653 * 20641 * P27
2 ^ 118 + 3 = 13 * 4231 * 192007 * 79290787 * P18
2 ^ 119 + 3 = 7 * 101 * P33
2 ^ 120 + 3 = 56509 * 1485373 * P26
2 ^ 121 + 3 = 5 * 940804052963 * P24
2 ^ 122 + 3 = 7 ^ 3 * 26407 * 279991 * 4533259 * P18
2 ^ 123 + 3 = 11 * 107 * 195539 * 68722301 * P21
2 ^ 124 + 3 = 2955781 * 8259693917749 * P18
2 ^ 125 + 3 = 5 * 7 * 198685121119 * P25
2 ^ 126 + 3 = 84061 * 7612907457439 * P21
2 ^ 127 + 3 = 79 * 60824497 * P29
2 ^ 128 + 3 = 7 * P38
2 ^ 129 + 3 = 5 * 16900493 * 46290218845973 * P18
2 ^ 130 + 3 = 13 * 19 * 484027 * 79541851 * P24
2 ^ 131 + 3 = 7 * 29 ^ 2 * 27006636533 * P26
2 ^ 132 + 3 = 98539087 * P32
2 ^ 133 + 3 = 5 * 11 * 4469359 * 758642948699 * P20
2 ^ 134 + 3 = 7 * 313 * 2287 * 8817388672303 * P21
2 ^ 135 + 3 = 367 * 72837517641986957 * P22
2 ^ 136 + 3 = 439 * 264919 * P33
2 ^ 137 + 3 = 5 ^ 2 * 7 * 59 * 131 * 12539 * P32
2 ^ 138 + 3 = 67 * 20123611 * 5781629301967 * P20
2 ^ 139 + 3 = 97 * 1931 * 2549 * 642797 * P28
2 ^ 140 + 3 = 7 * 11029783 * 25009554433 * 318937457239 * P13
2 ^ 141 + 3 = 5 * 677 * 18251 * 2519725653079 * P23
2 ^ 142 + 3 = 13 * P42
2 ^ 143 + 3 = 7 ^ 2 * 11 ^ 2 * 3607 * 78803 * 23609167 * P24
2 ^ 144 + 3 = 307 * 13025503 * P34
2 ^ 145 + 3 = 5 * 784871123 * P35
2 ^ 146 + 3 = 7 * 181 * 160117 * P36
2 ^ 147 + 3 = 53 * 60647478944761 * P29
2 ^ 148 + 3 = 19 * 211 * 2887 * 25750652023 * 619278272929 * P16
2 ^ 149 + 3 = 5 * 7 * 1106532437449 * P32
2 ^ 150 + 3 = 303482437 * 78093671587 * P26
2 ^ 151 + 3 = 106781 * P41
2 ^ 152 + 3 = 7 * 37 * P44
2 ^ 153 + 3 = 5 * 11 * 600696432006490087537 * P24
2 ^ 154 + 3 = 13 * 37721510773 * 3828946452679 * P23
2 ^ 155 + 3 = 7 * 12511933538023 * P33
2 ^ 156 + 3 = 61 * 547 * 2179 * 2288978119 * P30
2 ^ 157 + 3 = 5 ^ 3 * 557 * P43
2 ^ 158 + 3 = 7 * P47
2 ^ 159 + 3 = 29 * 227 * 27059 * 173848897619 * P29
2 ^ 160 + 3 = 355954801429 * 148389088212814063 * P20
2 ^ 161 + 3 = 5 * 7 * 149 * 937 * 1882163 * P36
2 ^ 162 + 3 = 103 * P47
2 ^ 163 + 3 = 11 * 22277 * 28169861195013321793 * P25
2 ^ 164 + 3 = 7 ^ 2 * 30427 * 160681 * P38
2 ^ 165 + 3 = 5 * 797 * 7229 * 60298757 * 95304540029 * P24
2 ^ 166 + 3 = 13 * 19 * 79 * 95566609 * 349682762843012539 * P21
2 ^ 167 + 3 = 7 * 476027023 * P41
2 ^ 168 + 3 = 1021929019 * 66360460812472969 * P25
2 ^ 169 + 3 = 5 * 6563 * 3158935783 * 448010621627 * 2863063183901 * P13
2 ^ 170 + 3 = 7 * 38449 * 571724443 * 436477296481 * 3643403437351 * P13
2 ^ 171 + 3 = 3581 * 2038705849 * P39
2 ^ 172 + 3 = 2215496009591889559 * P34
2 ^ 173 + 3 = 5 * 7 * 11 * 919 * 747623507 * 519812308091528579 * P20
2 ^ 174 + 3 = 441229 * 40235675808657073159 * P28
2 ^ 175 + 3 = 3851 * 18745403 * 61170531557 * P32
2 ^ 176 + 3 = 7 * 2157121 * 7597239198277362925297 * P24
2 ^ 177 + 3 = 5 ^ 2 * 577 * P50
2 ^ 178 + 3 = 13 * 6793 * 37991689 * 116646869443567827421 * P21
2 ^ 179 + 3 = 7 * 607 * 9173 * 10257969437 * P37
2 ^ 180 + 3 = 1021 * 1129420843477 * P40
2 ^ 181 + 3 = 5 * 68791 * 5566109036999449 * P34
2 ^ 182 + 3 = 7 * 163 * 114273264661813 * 100347110836142431 * P21
2 ^ 183 + 3 = 11 * 87433 * 22558927 * 1030400516460103 * P27
2 ^ 184 + 3 = 19 * 199 * P52
2 ^ 185 + 3 = 5 * 7 ^ 2 * 587 * P51
2 ^ 186 + 3 = 193 * 1172401 * 44848381 * P40
2 ^ 187 + 3 = 29 * 97 * 1979 * 627269 * P44
2 ^ 188 + 3 = 7 * 37 * P55
2 ^ 189 + 3 = 5 * P57
2 ^ 190 + 3 = 13 * P57
2 ^ 191 + 3 = 7 * 9679 * 117193 * 5344181 * P41
2 ^ 192 + 3 = 991 * 24566227808233 * 6614326428390546751 * P23
2 ^ 193 + 3 = 5 * 11 * 39751212131 * 7669240815150082652531 * P24
2 ^ 194 + 3 = 7 * 421 * 188284519478939089 * P38
2 ^ 195 + 3 = 59 * 83 ^ 2 * 301801735787 * P42
2 ^ 196 + 3 = 4057 * 22777 * 102043 * 1497462317557 * P34
2 ^ 197 + 3 = 5 ^ 2 * 7 * 179 * 1087 * 5004586787 * P43
2 ^ 198 + 3 = 271 * 3663031 * 125281998103 * P40
2 ^ 199 + 3 = 53 * 19471 * 9290599 * 736010624803727636267 * P27
2 ^ 200 + 3 = 7 * 349 * 2539 * 11870869 * 4828073311 * P37
2 ^ 201 + 3 = 5 * 3371 * 11740894205597 * 360175278182529387443 * P23
2 ^ 202 + 3 = 13 ^ 2 * 19 * 283909 * 518341 * P47
2 ^ 203 + 3 = 7 * 11 * 3343 * 1732879 * 52626249439 * P39
2 ^ 204 + 3 = 67 * 1212669095812513 * P45
2 ^ 205 + 3 = 5 * 79 * 14829271 * P52
2 ^ 206 + 3 = 7 ^ 2 * 1399 * 6733 * P54
2 ^ 207 + 3 = 193880471567785517 * P46
2 ^ 208 + 3 = 7039 * 14948911 * P52
2 ^ 209 + 3 = 5 * 7 * 439 * 212044704073 * 3487307314417 * P35
2 ^ 210 + 3 = 149324945743 * P53
2 ^ 211 + 3 = 821 * 933636690803 * P49
2 ^ 212 + 3 = 7 * 11593 * 25849 * 628498952994469 * P40
2 ^ 213 + 3 = 5 * 11 * 103 * 4939037 * 6657851 * 48831491 * P40
2 ^ 214 + 3 = 13 * 1663 * 12498691 * 51042613 * 465354397 * P37
2 ^ 215 + 3 = 7 * 29 * 9039487 * 11407319738641 * 221659867709468271817 * P23
2 ^ 216 + 3 = 61 * 51853 * 3503701 * 128067637770997 * P38
2 ^ 217 + 3 = 5 ^ 2 * 467 * 1039 * 4056620043897195640849 * P37
2 ^ 218 + 3 = 7 * 36943 * 562749712093113293639265552817 * P31
2 ^ 219 + 3 = 101 * 1571 * 222673211521 * 205715989592363 * 164682935478400609 * P18
2 ^ 220 + 3 = 19 * P65
2 ^ 221 + 3 = 5 * 7 * 5350341516099007 * P50
2 ^ 222 + 3 = 727 * 33193141 * 728757637 * P48
2 ^ 223 + 3 = 11 * 22469 * 6853108331 * P52
2 ^ 224 + 3 = 7 * 37 * 1693 * 28047858050522735397787 * P40
2 ^ 225 + 3 = 5 * 649826699 * P59
2 ^ 226 + 3 = 13 * P67
2 ^ 227 + 3 = 7 ^ 2 * 16111 * 15462443 * 217170487853180355678947263 * P29
2 ^ 228 + 3 = P69
2 ^ 229 + 3 = 5 * 107 * 613451023 * 4099053677 * 23123283199 * P38
2 ^ 230 + 3 = 7 * 9127 * 1255123649047 * 98891306761801 * 2405128601109037 * P23
2 ^ 231 + 3 = 45121 * 190926689003 * 158783982164141 * 120537488927213497 * P23
2 ^ 232 + 3 = 2383 * 33529 * 5234923 * 17873051055379028356093 * P33
2 ^ 233 + 3 = 5 * 7 * 11 * 22538843 * 22735307249651 * P47
2 ^ 234 + 3 = 499 * 10165531 * 18541004719 * P51
2 ^ 235 + 3 = 97 * 2991692311 * 34516597757 * 41134601865979766979581 * P27
2 ^ 236 + 3 = 7 * 48722361549541 * P57
2 ^ 237 + 3 = 5 ^ 2 * P70
2 ^ 238 + 3 = 13 * 19 * P70
2 ^ 239 + 3 = 7 * 15366744149699 * 866203444181545993 * P40
2 ^ 240 + 3 = 661 * 28247977441 * 83681159513797 * P46
2 ^ 241 + 3 = 5 * 1062091087 * 71586634286597 * P49
2 ^ 242 + 3 = 7 * 1398049 * 6935817217105279 * 24546009537711161809 * P31
2 ^ 243 + 3 = 11 * 29 * 269 * P69
2 ^ 244 + 3 = 79 ^ 2 * 137827 * P65
2 ^ 245 + 3 = 5 * 7 * 876556072537 * P61
2 ^ 246 + 3 = 307 * 41047 * P67
2 ^ 247 + 3 = 5113 * 1795921969 * 548379867989362859525425493551 * P32
2 ^ 248 + 3 = 7 ^ 2 * 139 * 877 * 583981 * 17436071040381541 * P46
2 ^ 249 + 3 = 5 * 563 * 39313 * 45767810523731 * P54
2 ^ 250 + 3 = 13 * 4665169 * 66516002947 * 2615453205389509872831187 * P33
2 ^ 251 + 3 = 7 * 53 * 5715701 * 49021187 * 50943185141 * 45686778642537442267973 * P26
2 ^ 252 + 3 = 8639476987 * 86755253221339 * 16463540808996269558467 * P30
2 ^ 253 + 3 = 5 * 11 ^ 2 * 59 * 135597893583083 * P58
2 ^ 254 + 3 = 7 * 1430848786457413249699841432521 * P46
2 ^ 255 + 3 = 9663703905367 * P64
2 ^ 256 + 3 = 19 * 8205113788378776133 * 10921290838679106496118818549 * P29
2 ^ 257 + 3 = 5 ^ 3 * 7 * 50311 * 71095122314597 * P56
2 ^ 258 + 3 = 255127 * 49938924719932999 * 1570010483835751443991 * P35
2 ^ 259 + 3 = 5806279273 * 3866253669507294797 * P50
2 ^ 260 + 3 = 7 * 37 * 7498663 * 74227299668928057649 * P50
2 ^ 261 + 3 = 5 * 100703607313 * P67
2 ^ 262 + 3 = 13 * 2671 * 231917740995774979 * 65601436632717162076540021 * P32
2 ^ 263 + 3 = 7 * 11 * 509 * P75
2 ^ 264 + 3 = 103 * 3183438334277969730276484633009 * P47
2 ^ 265 + 3 = 5 * 463 * 1489 * 383627 * P68
2 ^ 266 + 3 = 7 * 5431 * P76
2 ^ 267 + 3 = 131 * 1017646013 * P70
2 ^ 268 + 3 = 3587587921 * 31166082931 * 466861255786881103 * P43
2 ^ 269 + 3 = 5 * 7 ^ 3 * 1373 * 5693 * 326143 * 14471383 * 1001383681 * 12883260163171729400957 * P28
2 ^ 270 + 3 = 67 * 136334842477 * 7691747942887696949351143 * P44
2 ^ 271 + 3 = 29 * 27779 * 15854983 * 34295329 * 2126804788063 * 36265605820667 * P36
2 ^ 272 + 3 = 7 * 1130047 * 4805719 * 15060330763 * 86696425149133 * 88149202848868492663 * P25
2 ^ 273 + 3 = 5 * 11 * 3078409 * 3789765207784571333 * 403565953315874375385797 * P32
2 ^ 274 + 3 = 13 * 19 * 176389 * 5731981 * 4582317969777974191 * P50
2 ^ 275 + 3 = 7 * 510444025176083 * 433236931834709022181859 * P44
2 ^ 276 + 3 = 61 * 335771072368549 * P67
2 ^ 277 + 3 = 5 ^ 2 * 83 * 39727 * 271942753 * P68
2 ^ 278 + 3 = 7 * 937 * 31219 * 200899 * 602114658614845011228094849 * P44
2 ^ 279 + 3 = 197 * 739343441136073 * 5430752233654801 * 1524850232927687651 * P33
2 ^ 280 + 3 = 997 * 8923 * 530054587 * 395974715221 * 21969192581694826436640982699 * P29
2 ^ 281 + 3 = 5 * 7 * 17088319 * P76
2 ^ 282 + 3 = 193 * 439 * 643 * 26087251 * 31539439 * P63
2 ^ 283 + 3 = 11 * 79 * 97 * 199 * 92601704627 * P68
2 ^ 284 + 3 = 7 * 334393 * 474742856415520906110537961 * P53
2 ^ 285 + 3 = 5 * 173 * 239081172268307 * 819295191590936542653715783 * P42
2 ^ 286 + 3 = 13 * 1832211617800053518359 * P64
2 ^ 287 + 3 = 7 * 142856353 * 2468072119 * 27815856652538875178299127291 * P40
2 ^ 288 + 3 = 9404299 * 10274070679470259410227533001617 * P49
2 ^ 289 + 3 = 5 * P87
2 ^ 290 + 3 = 7 ^ 2 * 313 * 6301 * 7159 * 12086237306683 * P63
2 ^ 291 + 3 = 124805969109491995068936707998030656293 * P50
2 ^ 292 + 3 = 19 * 231613 * 10529473 * 1003885013387299 * 2445457238296520323 * P41
2 ^ 293 + 3 = 5 * 7 * 11 * 3221 * 13421 * 8941923173 * 506190824017 * P57
2 ^ 294 + 3 = 3366905977032081455344774657 * P61
2 ^ 295 + 3 = 1153137943473741768539945662517 * P59
2 ^ 296 + 3 = 7 * 37 * 1091173 * 27823603 * 2061050138738659468009 * 54119851227486143952679 * P30
2 ^ 297 + 3 = 5 ^ 2 * 2837 * 50652127 * 1164398281 * P68
2 ^ 298 + 3 = 13 * 1951532353 * P80
2 ^ 299 + 3 = 7 * 29 * 156371 * 53486617 * 1371894721 * P66
2 ^ 300 + 3 = 2803 * 4178885407 * P78
2 ^ 301 + 3 = 5 * 42923 * 7229793013130733630580131942008067629 * P49
2 ^ 302 + 3 = 7 * 78642210943 * 285256902103 * P68
2 ^ 303 + 3 = 11 * 53 * 293 * 1543 * 427519105946147328419723 * 84480712520990738267764923101 * P31
2 ^ 304 + 3 = 1446043 * 19709617 * 8227352476159935871 * P60
2 ^ 305 + 3 = 5 * 7 * 4111 * 4358385266507 * 1492442166518047 * P59
2 ^ 306 + 3 = 787 * 7687 * 1995566728327 * 299381550063562903 * 12556769642192016603217 * P34
2 ^ 307 + 3 = 12480698797422502816768677626331169 * P59
2 ^ 308 + 3 = 7 * 11173 * 46309 * P84
2 ^ 309 + 3 = 5 * 149 * 419 * 1009 * 988938319 * P76
2 ^ 310 + 3 = 13 * 19 ^ 2 * 1163923 * P84
2 ^ 311 + 3 = 7 ^ 2 * 59 * 751 * 121239690149 * P77
2 ^ 312 + 3 = 148951339 * 1589068087 * 9391809776779 * P64
2 ^ 313 + 3 = 5 * 11 * 14699 * 28229 * 888118787 * P75
2 ^ 314 + 3 = 7 * 241790117911432414896466440768501247 * P59
2 ^ 315 + 3 = 103 * 265807 * 442462538177123 * 84900322137675390428576762743 * P44
2 ^ 316 + 3 = 12613 * 17911 * 15363487 * P80
2 ^ 317 + 3 = 5 ^ 2 * 7 * 409 * 9319 * 137723 * 325783 * 10825709789 * 136951866313 * 323085953963 * P44
2 ^ 318 + 3 = 367 * 44235703 * 18203307307 * P76
2 ^ 319 + 3 = 101 * 709273 * 2344887989 * 105665833919593 * 7372754305766144897693008811 * P37
2 ^ 320 + 3 = 7 * 7046161 * 44556997 * 13114180370923711 * P65
2 ^ 321 + 3 = 5 * 577 * 3758861 * 4939609 * 1178225001512161 * 44158441447579922713 * P46
2 ^ 322 + 3 = 13 * 79 * 1213 * P91
2 ^ 323 + 3 = 7 * 11 * 16657 * 55721471237 * 20678434342757 * 10638979244264554551060232591 * P40
2 ^ 324 + 3 = 3319 * 4783 * P91
2 ^ 325 + 3 = 5 * 347 * 42893392109 * 2393240714309 * 31813830573528555822445264079825027 * P38
2 ^ 326 + 3 = 7 * 181 * 379 * 919 * 2473 * 115556871198019 * P73
2 ^ 327 + 3 = 29 * 22366111 * 25748346341 * 149422840733 * 2153958921359443609 * P50
2 ^ 328 + 3 = 19 * 4813 * 6914296981143734417797 * P72
2 ^ 329 + 3 = 5 * 7 * 22460487109668747916656543644977 * P67
2 ^ 330 + 3 = 145009 * 1745124751 * 1043784227033161 * P70
2 ^ 331 + 3 = 97 * 2357 * 137119 * 21417055956607 * P76
2 ^ 332 + 3 = 7 ^ 2 * 37 * 16249 * 2985495949 * 26141936778783450565406153096489833 * P49
2 ^ 333 + 3 = 5 * 11 * 271 * 257608999 * 9344164231 * 69395210941127381 * 60060866130547219970497 * P39
2 ^ 334 + 3 = 13 * 20802449421241 * 196723657050847 * 2506157740253535076983218473 * P45
2 ^ 335 + 3 = 7 * 107 * 2309 * 180463 * 380684939894581390355752132308496657 * P54
2 ^ 336 + 3 = 61 * 67 * 809594437 * 81888725287 * 2910748512378761972470134373565881 * P45
2 ^ 337 + 3 = 5 ^ 2 * 371192296235661294941 * P80
2 ^ 338 + 3 = 7 * 15708157 * 281095357777021 * P80
2 ^ 339 + 3 = 9343 * 106979 * 17962744505011045903 * P74
2 ^ 340 + 3 = 487 * 14197 * 16603 * 31663 * 264931 * 45495989062633513 * 161327492022768909400840597939 * P36
2 ^ 341 + 3 = 5 * 7 * 461 * 223225615597596210217385167987235650644727815937 * P52
2 ^ 342 + 3 = 154669 * 6149329077041089 * P82
2 ^ 343 + 3 = 11 * 727 * 2866230761676622966633496167381999 * P66
2 ^ 344 + 3 = 7 * 163 ^ 2 * 15808523971397917 * P83
2 ^ 345 + 3 = 5 * 4951 * 680355367 * 1359320761 * 10425439109 * 81839372411 * 84880860110531 * 8474140498635659 * P31
2 ^ 346 + 3 = 13 * 19 * 23916144644861208988355239681 * 1006044192210383516816019313891 * P44
2 ^ 347 + 3 = 7 * P104
2 ^ 348 + 3 = 307 * 82507 * 6395236034054041 * 23832300825341731 * P66
2 ^ 349 + 3 = 5 * 2693 * 87285827 * 1113574311174131 * P78
2 ^ 350 + 3 = 7 * 1597 * 234919438691178845964859 * 241414813199071046324695891787283451 * P43
2 ^ 351 + 3 = 67187 * 16955819 * 6326819297172448767369608614369 * P63
2 ^ 352 + 3 = 102061 * 171995947 * 7254771331732741 * 94261982066212963057512052904359 * P45
2 ^ 353 + 3 = 5 * 7 ^ 2 * 11 * 43037 * 14359447 * 126014891 * P83
2 ^ 354 + 3 = 13171 * 10167820132801 * P90
2 ^ 355 + 3 = 29 * 53 * 439 * P102
2 ^ 356 + 3 = 7 * 2879684098951259591967065570507041350139 * P67
2 ^ 357 + 3 = 5 ^ 4 * 1081578002641 * 2597223742066201 * 411503641934333262609769 * P54
2 ^ 358 + 3 = 13 * 211 * 3897422593 * 9230392333 * 794022504361 * 1538110400212449303319903 * P48
2 ^ 359 + 3 = 7 * 83 * 919903 * 2768329 * 138719857 * 297835439603956252441 * P65
2 ^ 360 + 3 = 475133509 * 32351585953 * 81432061694180524178671 * P67
2 ^ 361 + 3 = 5 * 79 * 9253779463 * 74248168192567283 * 2641602153221180692671846774465479771 * P43
2 ^ 362 + 3 = 7 * 20407 * 64627 * 2608876860169546207 * 667943708042859322441 * P60
2 ^ 363 + 3 = 11 ^ 2 * 3630943 * P101
2 ^ 364 + 3 = 19 * 149341 * 2192653 * P97
2 ^ 365 + 3 = 5 * 7 * 4057 * 4801 * 29401 * 109548217 * P89
2 ^ 366 + 3 = 103 * 132463312675392499 * 42852256784160638600678780186877481 * P57
2 ^ 367 + 3 = 450039877284879437 * 2062631683521796489 * 3617962154337533099 * P56
2 ^ 368 + 3 = 7 * 37 * 1160586979 * 320328451147 * 15332321001901 * P75
2 ^ 369 + 3 = 5 * 59 * P109
2 ^ 370 + 3 = 13 * 1890044491 * 2080325089 * 4391777890228999665046681 * P68
2 ^ 371 + 3 = 7 * 9817 * 25447969 * P100
2 ^ 372 + 3 = 3529 * 5367061099 * 236028366287428249893283 * P76
2 ^ 373 + 3 = 5 * 11 * 765773 * 6459440363 * 240716504411 * 10612088548139091368178413 * 2344313900035292376118665289 * P32
2 ^ 374 + 3 = 7 ^ 2 * 541 * 12697 * 30128861759749 * 323114205923250877726484083 * 9652222198279233539924726243533 * P34
2 ^ 375 + 3 = 179 * 1787 * 1121093 * 5516534355534000393869 * 2636081700121331355289424248681 * P50
2 ^ 376 + 3 = 769 * 823 * 363249973987 * 117802809100383681649 * P76
2 ^ 377 + 3 = 5 ^ 2 * 7 * 68147957 * 845784518981 * 13410879699266089338919 * 22224111600334749609422614561 * P42
2 ^ 378 + 3 = 193 * 3181 * 2469289486693 * 28386337147303102334966008519 * P68
2 ^ 379 + 3 = 97 * 3673 * 37273 * 209868391 * 15285380916118187333 * P77
2 ^ 380 + 3 = 7 * 236869 * 2152691175200101933 * P90
2 ^ 381 + 3 = 5 * 1667 * 19571 * 26495403413 * 221732069752463332477967755131989 * P64
2 ^ 382 + 3 = 13 * 19 * 199 * P111
2 ^ 383 + 3 = 7 * 11 * 29 * 934229 * 2749067 * P100
2 ^ 384 + 3 = 619 * 8697051712834814637691 * 838075035624133927272253 * P67
2 ^ 385 + 3 = 5 * 227 * 5781680942517823631527 * 66584396092665156854370511 * P66
2 ^ 386 + 3 = 7 * 139 * 2255761 * 28256646866953332997079391961 * P79
2 ^ 387 + 3 = 12923 * 175523 * P108
2 ^ 388 + 3 = 3889 * 85093 * 488011 * 777373 * 27027636529 * 121455032113 * 121156404237367 * 31604058567567366679 * P42
2 ^ 389 + 3 = 5 * 7 * 174989 * 321872643643494520056847 * P87
2 ^ 390 + 3 = P118
2 ^ 391 + 3 = 76831 * 335450900359 * 538351108698824459 * 10003546943749696732045896877683249945073 * P44
2 ^ 392 + 3 = 7 * 11519050280113 * P105
2 ^ 393 + 3 = 5 * 11 * 355331 * 1603800932359 * 4073530213360504461871 * 1237127291574649265152392937133 * P48
2 ^ 394 + 3 = 13 * 1237 * 10264183 * 57977137 * P100
2 ^ 395 + 3 = 7 ^ 2 * 937 ^ 2 * P112
2 ^ 396 + 3 = 61 * 305175989344308631444896915490309 * P85
2 ^ 397 + 3 = 5 ^ 2 * 131 * 116041 * 6582461 * 3457898752347280050919 * P83
2 ^ 398 + 3 = 7 * 3547 * 101203 * 73842001 * 9365478061 * 563441629641440718132364000671040320101539 * P51
2 ^ 399 + 3 = 109807 * 35581065888131 * 66987815077884273552991392684218267406439604209 * P55 Chris Monico, Dec 5 2008
2 ^ 400 + 3 = 19 * 79 * 499 * 167149 * P110
2 ^ 401 + 3 = 5 * 7 * 34351 * 712417 * 3331087 * P103
2 ^ 402 + 3 = 67 * 53101 * 141880560979 * 496143331820131111671706652238645208992873799 * P59 10metreh, Dec 5 2009
2 ^ 403 + 3 = 11 * 71980157 * 13915240739 * 67292429549 * 1362705659111449 * 13678116875241639264311281 * P52 10metreh, Dec 20 2009
2 ^ 404 + 3 = 7 * 37 * 24049 * 1716901 * 1159297807 * 762773523361 * P88 10metreh, Dec 20 2009
2 ^ 405 + 3 = 5 * 12208538699531 * 58978112913443 * 6634369775329297 * P79 10metreh, Dec 20 2009
2 ^ 406 + 3 = 13 * 666529 * 1184540858759040093382523893944931271915569 * P74 10metreh, Dec 21 2009
2 ^ 407 + 3 = 7 * 53 * 317 * 773 * 13537 * 25838626192733 * P98 10metreh, Dec 20 2009
2 ^ 408 + 3 = 8963281 * 2394804699865663 * 65310905150812861 * 2918279459999154374911 * P63 10metreh, Dec 20 2009
2 ^ 409 + 3 = 5 * 1201 * 545301780563 * 316910281340785099979554173443447071 * P73 Artur Jasinski, Apr 18 2010
2 ^ 410 + 3 = 7 * P123 10metreh, Dec 20 2009
2 ^ 411 + 3 = 29 * 2969359 * 6130238573021 * 293610972745984853 * 8089143736835362470666980381 * P58 Mitchell Dickerman, Apr 16 2010
2 ^ 412 + 3 = 41857219 * 1495580251197497268974041 * P93 10metreh, Dec 20 2009
2 ^ 413 + 3 = 5 * 7 * 11 * 5479 * 2362757 * 1044724103434452601 * P94 10metreh, Dec 20 2009
2 ^ 414 + 3 = 3019 * 611497 * 93091753 * 12756418483 * 554218313101 * 514166624351026702071020199686288800921 * P47 Mitchell Dickerman, Apr 16 2010
2 ^ 415 + 3 = 105802514288849436601 * 1144559378547678487543 * 309527727623965144071397791623021 * P52 Mitchell Dickerman, Apr 16 2010
2 ^ 416 + 3 = 7 ^ 4 * 4003 * 459301 * 443715669359467 * P98 10metreh, Dec 20 2009
2 ^ 417 + 3 = 5 ^ 2 * 103 * 7561 * 8171 * 2890108619455999 * 2942029269599254700749436588985184976431 * P60 Mitchell Dickerman, Apr 18 2010
2 ^ 418 + 3 = 13 * 19 * 122533 * 10412971 * 137132917125357331 * 5292718854486788557748359051 * P67 Mitchell Dickerman, Apr 16 2010
2 ^ 419 + 3 = 7 * 101 * 60369203843911058349355633 * 314586489161839654783757420469720137802443 * P57 Mitchell Dickerman, Apr 18 2010
2 ^ 420 + 3 = 613 * 2203 * 77069395074979067142601 * 13521644229362704654724399481393020761 * P61 Artur Jasinski, Apr 18 2010
2 ^ 421 + 3 = 5 * 520393 * 718783327733 * 102031501557222779 * 781770122826681643932056027459 * P62 Mitchell Dickerman, Apr 16 2010
2 ^ 422 + 3 = 7 * 17299 * 5933437507 * 1457630517776887 * P98 10metreh, Dec 20 2009
2 ^ 423 + 3 = 11 * 75929411 * P119 10metreh, Dec 20 2009
2 ^ 424 + 3 = 373 * 1231 * 11065513 * 749882964919206007 * P98 10metreh, Dec 20 2009
2 ^ 425 + 3 = 5 * 7 * P127 10metreh, Dec 20 2009
2 ^ 426 + 3 = 4090663 * 446057018007587635574899 * 1299973488346029665526514680308926236655419571 * P53 Artur Jasinski, Apr 18 2010
2 ^ 427 + 3 = 59 * 97 * 13614193 * 29882394076935061373 * P99 10metreh, Dec 20 2009
2 ^ 428 + 3 = 7 * 439 * 10771156381456531 * 4175191776457526087102956069 * 23054506390983437798426520031328191 * P48 Artur Jasinski, Apr 18 2010
2 ^ 429 + 3 = 5 * 1303 * 6653 * 71233 * 145637 * 156059 * 724609 * 724202309113 * 15428278373178949683271858537687 * P58 Mitchell Dickerman, Apr 16 2010
2 ^ 430 + 3 = 13 * 228223 * 3354478930122670030243 * 8801171461111285790691163 * 7951598469944371070927130159198571 * P43 10metreh, Dec 20 2009
2 ^ 431 + 3 = 7 * 47915044198999 * P116 Mitchell Dickerman, Apr 18 2010
2 ^ 432 + 3 = 182701 * 396103 * 1051423 * 5262223 * 34391295897789039061 * P87 Mitchell Dickerman, Apr 18 2010
2 ^ 433 + 3 = 5 * 11 * 13794031 * 18648107 * 13729554297692446692173 * 24449331207195102407138329085627 * P61 Mitchell Dickerman, Apr 18 2010
2 ^ 434 + 3 = 7 * 2867293087 * P121 Mitchell Dickerman, Apr 18 2010
2 ^ 435 + 3 = 5828120041255399 * P116 Mitchell Dickerman, Apr 18 2010
2 ^ 436 + 3 = 19 * 3631 * 47791 * 13113946851068341208850444302277652804734315229 * P76 Artur Jasinski, Apr 19 2010
2 ^ 437 + 3 = 5 ^ 2 * 7 ^ 2 * 122263 * 11530522853 * 247031127326750026670345204222717 * 765703747377472226516775293229333926651 * P43 Mitchell Dickerman, May 5 2010
2 ^ 438 + 3 = 748807333 * 282174226598952866623591819 * P97 Artur Jasinski, Apr 19 2010
2 ^ 439 + 3 = 29 * 79 * 1399 * 288649 * 1179590160409 * 37195062918117201101600182933547983 * P74 Mitchell Dickerman, Apr 20 2010
2 ^ 440 + 3 = 7 * 37 * P131 Artur Jasinski, Apr 19 2010
2 ^ 441 + 3 = 5 * 83 * 107 * 947 * 227959829 * 8104317217 * 145707781428716966516642838079 * 257405717366030894358690107014877 * P46 Mitchell Dickerman, Apr 20 2010
2 ^ 442 + 3 = 13 * 1093 * 3308065306261834121821603 * 722538579693587695214100236760619191447883010709079 * P54 Artur Jasinski, Apr 19 2010
2 ^ 443 + 3 = 7 * 11 * 83615846926802042195759578937673697 * 416951100155175393325774009228700912119 * P58 Mitchell Dickerman, Apr 27 2010

Perfect split: ratio between largest factors is ~1.090
2 ^ 444 + 3 = 6457210947552351806317759186824772702274763399418813928493754384663 * P67 Artur Jasinski, Apr 19 2010

2 ^ 445 + 3 = 5 * 347651 * 213364085610930674171 * 3832523449277207090259503427117891335064581017110151 * P56 Mitchell Dickerman, Apr 27 2010
2 ^ 446 + 3 = 7 * 313 * 9237221599177308201777399663328813867240013996994642811 * P76 Artur Jasinski, Apr 19 2010
2 ^ 447 + 3 = 4787 * 16515208968106594098533 * 44004081295973703900045530598027199 * 112855428804855224144893319417620087 * P39 Mitchell Dickerman, Apr 27 2010
2 ^ 448 + 3 = 6229 * 309258216172243575717783403 * P105 Artur Jasinski, Apr 19 2010
2 ^ 449 + 3 = 5 * 7 * 1019 * 12120382114807 * 212121621232200619652713023403609547135737 * P77 Mitchell Dickerman, May 10 2010
2 ^ 450 + 3 = 307 * P133 Artur Jasinski, Apr 19 2010
2 ^ 451 + 3 = 201777773 * P128 Artur Jasinski, Apr 19 2010
2 ^ 452 + 3 = 7 * 1294753 * 2388157 * 265218923108967092007361332477665369451229 * P82 Artur Jasinski, Apr 19 2010
2 ^ 453 + 3 = 5 * 11 * 38738730335993307106268529691441 * 505103848760175773585922430667141 * P71 Mitchell Dickerman, Apr 27 2010
2 ^ 454 + 3 = 13 * 19 * 2797 * 545615112363269039449 * P111 Artur Jasinski, Apr 19 2010
2 ^ 455 + 3 = 7 * P137 Artur Jasinski, Apr 19 2010
2 ^ 456 + 3 = 61 * 5444221 * 8860639 * 77781868201 * 17198912727835515695756492849323 * P80 Artur Jasinski, Apr 19 2010
2 ^ 457 + 3 = 5 ^ 3 * 149 * 173 * 1580231383 * 639276844512539 * 4515789496548050037415859 * 100288475914157928068743292189 * P54 Mitchell Dickerman, Apr 27 2010
2 ^ 458 + 3 = 7 ^ 2 * 145433179 * 157094650662109 * P114 Artur Jasinski, Apr 19 2010
2 ^ 459 + 3 = 53 * 1457219 * 170548117040881 * 4600753193972232308190016005333125360160981533141 * P68 Mitchell Dickerman, May 10 2010
2 ^ 460 + 3 = 2093963960773 * 1351585200889091851710314318114857 * 2547917538440388443794762100650022383112759809 * P48 Artur Jasinski, Apr 19 2010
2 ^ 461 + 3 = 5 * 7 * P138 Artur Jasinski, Apr 19 2010
2 ^ 462 + 3 = 757 * 278143 * P131 Artur Jasinski, Apr 19 2010
2 ^ 463 + 3 = 11 * 265207 * 105542615537561296931 * 114628788680138661037539226236305987035634751496979 * P63 Mitchell Dickerman, May 5 2010
2 ^ 464 + 3 = 7 * 727 * 1933 * 70404727 * 56585571027599113 * 296598578733274003 * P91 Artur Jasinski, Apr 19 2010
2 ^ 465 + 3 = 5 * 389 * 577 * 65963 * 329431 * 49533026309446153 * 15881334566621653711 * 1255034765360780726692482411491 * P58 Mitchell Dickerman, Apr 27 2010
2 ^ 466 + 3 = 13 * 1022772643 * 17513630108269 * 25993874836255044794669150697532753783405873 * P74 Mitchell Dickerman, May 10 2010
2 ^ 467 + 3 = 7 * 29 * 1259 * 1164001 * 637682696792497 * 28363458635786984519261 * 50744408191280132732781370211 * P64 Mitchell Dickerman, Apr 27 2010
2 ^ 468 + 3 = 67 * 103 * 271 * 361130947577575003453 * 43417340838351068596869203541288134421740312629 * P68 Mitchell Dickerman, May 10 2010
2 ^ 469 + 3 = 5 * 21313 * 127189499 * 29488461079970442518877079 * 116730793874568130580619211554902955064042301 * P59 Mitchell Dickerman, May 5 2010
2 ^ 470 + 3 = 7 * P141 Artur Jasinski, Apr 19 2010
2 ^ 471 + 3 = 1427 * 379774664861 * 7069827407730864507778010839788693494225291023 * P82
2 ^ 472 + 3 = 19 * 466733707141203157274698058923417 * 38426649349272170347139867277407611 * P74 Mitchell Dickerman, May 5 2010
2 ^ 473 + 3 = 5 * 7 * 11 ^ 2 * 5171 * 5857 * 184903 * 4007774803184030025457 * 788627152771659428103923 * P81 Mitchell Dickerman, Apr 27 2010
2 ^ 474 + 3 = 193 * 67579 * P136 Artur Jasinski, Apr 19 2010
2 ^ 475 + 3 = 97 * 197 * 1129 * 25469 * 536339936263 * 15657471755479273 * 2897116948401603206621 * P82 Mitchell Dickerman, Apr 20 2010
2 ^ 476 + 3 = 7 * 37 * 111209251 * 1830563304550892961523 * 158245994751093622132987 * 2274787705402747124096369959880731 * P56 Artur Jasinski, Apr 19 2010
2 ^ 477 + 3 = 5 ^ 2 * 193581343 * 384748371045401739293161197265119782533773881877186712516044899 * P72
2 ^ 478 + 3 = 13 * 79 * 126748267 * 396136828761805294229463169 * P107 Artur Jasinski, Apr 19 2010
2 ^ 479 + 3 = 7 ^ 2 * 919 * 68759019514509848658334590336866329 * 1917346103850517268805053862580360008609186206573 * P57 Mitchell Dickerman, May 5 2010
2 ^ 480 + 3 = 136519 * 3313284109417 * 8098974570155579167807544156256518592139 * P87
2 ^ 481 + 3 = 5 * 199 * 290593 * 398012023 * 46440188639659931 * 1917644241833931151 * 16831067398616689061 * 141250200054280681611616561 * P48 Mitchell Dickerman, Apr 27 2010
2 ^ 482 + 3 = 7 * 607 * 2719 * P139 Artur Jasinski, Apr 19 2010
2 ^ 483 + 3 = 11 * 53866849 * 36274766635412772216979444849 * 3715113350049034560864839651032143018489129319 * P63 Mitchell Dickerman, May 5 2010
2 ^ 484 + 3 = 55201 * 85889959 * 114863076751 * 1551805416900206960953917713514168721 * P86 Mitchell Dickerman, Apr 27 2010
2 ^ 485 + 3 = 5 * 7 * 59 * 6701 * 75041549756557183 * 93120642203088446449756836007281429173 * 3214326506844392437120418853160719614881 * P45
2 ^ 486 + 3 = 13476601 * 4323960627380567791 * 89254114007190036788683679286622243530648925255649533 * P68
2 ^ 487 + 3 = 5407 * 186820631428493323495197871936231813114691 * P102
2 ^ 488 + 3 = 7 * 82189 * 22826905288723 * P128 Artur Jasinski, Apr 19 2010
2 ^ 489 + 3 = 5 * P147 Artur Jasinski, Apr 19 2010
2 ^ 490 + 3 = 13 * 19 * 9681474139 * 46874994873757 * 1221545496118457599 * 589581396612565448691997 * P80 Artur Jasinski, Apr 19 2010
2 ^ 491 + 3 = 7 * 10513 * 56003 * 5631889 * 571013089 * P123 Artur Jasinski, Apr 19 2010
2 ^ 492 + 3 = 11860243 * 54228929906058568182397 * 5750783987416802615376742606891303 * P85
2 ^ 493 + 3 = 5 * 11 * 1063 * 10364270085979613 * 6107673948185638427 * 1486872409146265879 * 2119858318679233149217 * P70 Mitchell Dickerman, Apr 27 2010
2 ^ 494 + 3 = 7 * 280879 * 99068659097059 * 105419069603336883915373 * P106 Artur Jasinski, Apr 19 2010
2 ^ 495 + 3 = 29 * 46003179449037741824645940466567 * 7159642861237481993828535673096843303 * P80 Mitchell Dickerman, May 10 2010
2 ^ 496 + 3 = 463 * 643 * 207967 * 18159049 * 684122173850149 * P117 Artur Jasinski, Apr 19 2010
2 ^ 497 + 3 = 5 ^ 2 * 7 * 138041523481 * P137 Mitchell Dickerman, Apr 27 2010
2 ^ 498 + 3 = 1127225257 * P141 Artur Jasinski, Apr 19 2010
2 ^ 499 + 3 = 2117513459 * 7914103776707 * 3592726198464918610426109 * P104 Mitchell Dickerman, Apr 27 2010
2 ^ 500 + 3 = 7 ^ 2 * 837043 * 83064537521671249 * 1001718164676166537 * P108 Artur Jasinski, Apr 19 2010
2 ^ 501 + 3 = 5 * 367 * 439 * 648182025559 * 127556212996397 * 76529786757529148195771 * 6204136896400329789470110626803465407 * P60
2 ^ 502 + 3 = 13 * 8193165129091 * 96185948250896881801 * 23927376719784298669 * 9800682882204377047597283533829543829939881167 * P52
2 ^ 503 + 3 = 7 * 11 * 974747 * 5377215923382759821481491 * 2335625053645052283408719768602128816633683 * P77
2 ^ 504 + 3 = 13177211119 * 608006857 * 4588818355861 * 16315378322293641737317 * P98
2 ^ 505 + 3 = 5 * 2092965548711338559978387 * 43700873924929849030469723 * 399635456524432327392613544648438939 * P66
2 ^ 506 + 3 = 7 * 163 * 181 * 33493 * 245029 * 1561374769 * 27128696815456657 * 19018532289954099649 * 150221989574999554298217589 * P67
2 ^ 507 + 3 = 1033829 * 13421600098840415241041761 * P122
2 ^ 508 + 3 = 19 * 508802479 * 13484029644229 * 49771100557883569 * P114
2 ^ 509 + 3 = 5 * 7 * 1799443372175365787603723 * 41358740716158510765375989 * 7537345748867288581435361279471003463283813615537 * P53
2 ^ 510 + 3 = 24793 * 28362962491 * 112823090119 * 2080103918551 * 1676111945771444505861992224144642039 * P80
2 ^ 511 + 3 = 53 * 269 * 4729 * 62442927111731099 * P130
2 ^ 512 + 3 = 7 * 37 * 937 * 8455147 * 87720866145391 * 7609388173773154803631 * 253920001596571219502632485937 * P77
2 ^ 513 + 3 = 5 * 11 * 3491 * 9918331540302011 * 193637575867870456807 * P113
2 ^ 514 + 3 = 13 ^ 2 * 1279 * 67154334096133 * 3992716091773622990457391 * 52093903116669355612849116607 * P83
2 ^ 515 + 3 = 7 * 659 * 2287 * 10623461 * 21806143 * 6029485369 * 535226350365978925735787 * P101
2 ^ 516 + 3 = 61 * 10429 * 1865887 * 8810568002059 * 280401754023361 * 3030438792757999262011 * 2976646182383861449995553085599 * P64
2 ^ 517 + 3 = 5 ^ 2 * 79 * 8363 * 116215783 * P141
2 ^ 518 + 3 = 7 * 70237 * 799725193 * 95067426037 * P131
2 ^ 519 + 3 = 101 * 103 * 1594183 * 6149161 * P140
2 ^ 520 + 3 = 1021 * 2137 * 30692305654090998450942616690936223383209859 * 115799276552771810548005152030333723143966933 * P63

Smallest number with the largest quantity of distinct factors: 12
2 ^ 521 + 3 = 5 * 7 ^ 2 * 409 * 1447 * 7993 * 21227 * 96269 * 3984439 * 2458494223 * 55205031911054457883439915759949409 * 512904114861349557571379786239667401 * P50

2 ^ 522 + 3 = 7278100813 * P148
2 ^ 523 + 3 = 11 * 29 * 83 * 97 * 786271 * P146
2 ^ 524 + 3 = 7 * 139 * 28896643 * 467161969 * C139