Talk:Earliest difference between prime gaps
Gap table
For what it is worth, this table shows the prime gaps found while determining the earliest adjacent gap difference > one billion. (In the order they were found by default.)
| gap | minimal starting prime |
ending prime |
|---|---|---|
| 0 | 2 | 2 |
| 1 | 2 | 3 |
| 2 | 3 | 5 |
| 4 | 7 | 11 |
| 6 | 23 | 29 |
| 8 | 89 | 97 |
| 14 | 113 | 127 |
| 10 | 139 | 149 |
| 12 | 199 | 211 |
| 18 | 523 | 541 |
| 20 | 887 | 907 |
| 22 | 1129 | 1151 |
| 34 | 1327 | 1361 |
| 24 | 1669 | 1693 |
| 16 | 1831 | 1847 |
| 26 | 2477 | 2503 |
| 28 | 2971 | 2999 |
| 30 | 4297 | 4327 |
| 32 | 5591 | 5623 |
| 36 | 9551 | 9587 |
| 44 | 15683 | 15727 |
| 42 | 16141 | 16183 |
| 40 | 19333 | 19373 |
| 52 | 19609 | 19661 |
| 48 | 28229 | 28277 |
| 38 | 30593 | 30631 |
| 72 | 31397 | 31469 |
| 50 | 31907 | 31957 |
| 62 | 34061 | 34123 |
| 54 | 35617 | 35671 |
| 60 | 43331 | 43391 |
| 58 | 44293 | 44351 |
| 46 | 81463 | 81509 |
| 56 | 82073 | 82129 |
| 64 | 89689 | 89753 |
| 68 | 134513 | 134581 |
| 86 | 155921 | 156007 |
| 66 | 162143 | 162209 |
| 70 | 173359 | 173429 |
| 78 | 188029 | 188107 |
| 76 | 212701 | 212777 |
| 82 | 265621 | 265703 |
| 96 | 360653 | 360749 |
| 112 | 370261 | 370373 |
| 100 | 396733 | 396833 |
| 74 | 404597 | 404671 |
| 90 | 404851 | 404941 |
| 84 | 461717 | 461801 |
| 114 | 492113 | 492227 |
| 80 | 542603 | 542683 |
| 88 | 544279 | 544367 |
| 98 | 604073 | 604171 |
| 92 | 927869 | 927961 |
| 106 | 1098847 | 1098953 |
| 94 | 1100977 | 1101071 |
| 118 | 1349533 | 1349651 |
| 132 | 1357201 | 1357333 |
| 104 | 1388483 | 1388587 |
| 102 | 1444309 | 1444411 |
| 110 | 1468277 | 1468387 |
| 126 | 1671781 | 1671907 |
| 120 | 1895359 | 1895479 |
| 148 | 2010733 | 2010881 |
| 108 | 2238823 | 2238931 |
| 122 | 3117299 | 3117421 |
| 138 | 3826019 | 3826157 |
| 128 | 3851459 | 3851587 |
| 154 | 4652353 | 4652507 |
| 130 | 5518687 | 5518817 |
| 116 | 5845193 | 5845309 |
| 146 | 6034247 | 6034393 |
| 136 | 6371401 | 6371537 |
| 124 | 6752623 | 6752747 |
| 134 | 6958667 | 6958801 |
| 140 | 7621259 | 7621399 |
| 152 | 8421251 | 8421403 |
| 142 | 10343761 | 10343903 |
| 144 | 11981443 | 11981587 |
| 150 | 13626257 | 13626407 |
| 180 | 17051707 | 17051887 |
| 156 | 17983717 | 17983873 |
| 164 | 20285099 | 20285263 |
| 210 | 20831323 | 20831533 |
| 170 | 27915737 | 27915907 |
| 160 | 33803689 | 33803849 |
| 182 | 36271601 | 36271783 |
| 168 | 37305713 | 37305881 |
| 176 | 38089277 | 38089453 |
| 172 | 38394127 | 38394299 |
| 162 | 39175217 | 39175379 |
| 178 | 39389989 | 39390167 |
| 198 | 46006769 | 46006967 |
| 220 | 47326693 | 47326913 |
| 158 | 49269581 | 49269739 |
| 174 | 52721113 | 52721287 |
| 196 | 70396393 | 70396589 |
| 184 | 79167733 | 79167917 |
| 166 | 83751121 | 83751287 |
| 202 | 107534587 | 107534789 |
| 204 | 112098817 | 112099021 |
| 222 | 122164747 | 122164969 |
| 192 | 123454691 | 123454883 |
| 188 | 134065829 | 134066017 |
| 190 | 142414669 | 142414859 |
| 186 | 147684137 | 147684323 |
| 194 | 166726367 | 166726561 |
| 234 | 189695659 | 189695893 |
| 248 | 191912783 | 191913031 |
| 208 | 192983851 | 192984059 |
| 216 | 202551667 | 202551883 |
| 212 | 215949407 | 215949619 |
| 236 | 216668603 | 216668839 |
| 206 | 232423823 | 232424029 |
| 214 | 253878403 | 253878617 |
| 218 | 327966101 | 327966319 |
| 242 | 367876529 | 367876771 |
| 200 | 378043979 | 378044179 |
| 250 | 387096133 | 387096383 |
| 240 | 391995431 | 391995671 |
| 224 | 409866323 | 409866547 |
| 282 | 436273009 | 436273291 |
| 226 | 519653371 | 519653597 |
| 232 | 525436489 | 525436721 |
| 246 | 555142061 | 555142307 |
| 230 | 607010093 | 607010323 |
| 252 | 630045137 | 630045389 |
| 276 | 649580171 | 649580447 |
| 238 | 673919143 | 673919381 |
| 244 | 693103639 | 693103883 |
| 228 | 895858039 | 895858267 |
| 260 | 944192807 | 944193067 |
| 254 | 1202442089 | 1202442343 |
| 274 | 1282463269 | 1282463543 |
| 288 | 1294268491 | 1294268779 |
| 258 | 1316355323 | 1316355581 |
| 270 | 1391048047 | 1391048317 |
| 266 | 1438779821 | 1438780087 |
| 292 | 1453168141 | 1453168433 |
| 268 | 1579306789 | 1579307057 |
| 262 | 1649328997 | 1649329259 |
| 284 | 1667186459 | 1667186743 |
| 272 | 1851255191 | 1851255463 |
| 280 | 1855047163 | 1855047443 |
| 256 | 1872851947 | 1872852203 |
| 290 | 1948819133 | 1948819423 |
| 320 | 2300942549 | 2300942869 |
| 264 | 2357881993 | 2357882257 |
| 304 | 2433630109 | 2433630413 |
| 286 | 2842739311 | 2842739597 |
| 336 | 3842610773 | 3842611109 |
| 306 | 3917587237 | 3917587543 |
| 310 | 4024713661 | 4024713971 |
| 278 | 4260928601 | 4260928879 |
| 354 | 4302407359 | 4302407713 |
| 318 | 4372999721 | 4373000039 |
| 300 | 4758958741 | 4758959041 |
| 296 | 5260030511 | 5260030807 |
| 308 | 5490459101 | 5490459409 |
- Most interesting! I think this could be worthy of a task itself - What is the lowest even number that isn't a prime gap for primes up to 1,000, 10,000, 100,000, 1,000,000 etc. - assuming that isn't a task already... Although it is somewhat simpler than this task. --Tigerofdarkness (talk) 19:06, 20 November 2021 (UTC)
- an longer table: | First occurrence prime gaps