First known occurrence prime gaps
(1000000 to 999999998)

Dr. Thomas R. Nicely

http://www.trnicely.net
Current e-mail address

Freeware copyright © 2017 Thomas R. Nicely. Released into the public public domain by the author, who disclaims any legal liability arising from its use.

Last updated 0700 GMT 23 April 2017. Additional lists of prime gaps are maintained on this site.

For detailed explanatory notes, a complete bibliography, and a list of the discoverers and their associated abbreviations, see the document First occurrence prime gaps.

FORMAT

Gaps of 1000000 or greater would overflow the standard format, which is described in the principal explanatory notes and employed in the other lists of prime gaps at this site. Consequently, a special format is employed for such gaps. A fictional example is shown below:
999999999  C?P WCFields 2004 113.7447 9999999  1234567890123456789
Submissions of such gaps may be in the above format (explained in detail below), or in the simpler format
ggggggggg  pppppppppp
where ggggggggg is the gap measure and ppppppppp is the initiating prime, specified as a literal integer, or in formula form. In either format, line continuation (as specified below) is optional in gap submissions.

The precise format specifications for "megagaps" are similar to those provided in the principal explanatory notes, with exceptions as follows (see the principal notes for further explanation of terms and concepts).


============================================================================
    Gap    Cls Discvrer Year   Merit   Digits  Following the prime
============================================================================
  1001548  C?P RosntlJA 2004  10.0157   43429  1913094464943476849014660...
  1004972  C?P Rosnthal 2017  20.1966   21611  1111111111111111111*49999#/(13#*41) - 682886
  1059838  C?P MrtnRaab 2017  11.6712   39438  91183#/510510 - 749374
  1069640  C?P Rosnthal 2017  21.4978   21609  1111111111111111111*49999#/(13#*1709) - 479714
  1075312  C?P MrtnRaab 2017  11.8386   39448  91199#/510510 - 326398
  1078180  C?P PierCami 2006  12.3203   38007  50491*(87811#)/6 - 657714
  1095368  C?P RobSmith 2016  10.9892   43290  11*99991#/46410 - 886674
  1113106  C?C MJPC&JKA 2013  25.9045   18662  587*43103#/2310 - 455704
  1113976  C?P Rosnthal 2017  22.3878   21610  1111111111111111111*49999#/(11#*1987) - 389212
  1117820  C?P RobSmith 2016  11.2141   43291  149*99991#/46410 - 813426
  1134502  C?P MrtnRaab 2017  12.5131   39376  91081#/223092870 - 266616
  1150108  C?P MrtnRaab 2017  12.6876   39369  91033#/510510 - 292500
  1158992  C?P MrtnRaab 2017  12.7816   39381  91097#/223092870 - 868638
  1176666  C?P MrtnRaab 2016  12.9561   39443  91199#/46473256830 - 629212
  1212942  C?P MrtnRaab 2017  13.3981   39318  90911#/9699690 - 578816
  1216548  C?P MrtnRaab 2017  13.3919   39453  91229#/510510 - 552182
  1217460  C?P MrtnRaab 2015  13.4036   39448  91229#/46093437390 - 495038
  1224222  C?P RobSmith 2016  12.2811   43293  8263*99991#/46410 - 600164
  1284234  C?P MrtnRaab 2017  14.1659   39372  91079#/9699690 - 502828
  1286500  C?P Rosnthal 2016  25.8571   21608  1111111111111111111*49999#/(510510*499) - 525318
  1289022  C?P MrtnRaab 2017  14.1924   39445  91199#/223092870 - 589586
  1289448  C?P MrtnRaab 2017  14.2096   39411  91141#/223092870 - 486524
  1321710  C?P MrtnRaab 2017  14.6129   39282  90833#/223092870 - 666794
  1386416  C?P MrtnRaab 2017  15.3176   39309  90901#/510510 - 617466
  1390164  C?P MrtnRaab 2017  15.3242   39398  91127#/510510 - 572762
  1417014  C?P MrtnRaab 2017  15.6246   39387  91099#/9699690 - 762506
  1419558  C?P MrtnRaab 2017  15.6620   39364  91019#/510510 - 607058
  1452592  C?P RobSmith 2016  14.5724   43291  451*99991#/46410 - 1136946
  1462522  C?P MrtnRaab 2015  16.1016   39448  91229#/46056680670 - 853776
  1471730  C?P MrtnRaab 2017  16.2111   39428  91159#/510510 - 804872
  1521800  C?P MrtnRaab 2017  16.7563   39443  91193#/510510 - 371324
  1569660  C?P M.Jansen 2012   7.0001   97384  224737#/510510 - 1054198
  1575828  C?P M.Jansen 2012  15.0964   45334  104729#/2310 - 1282742
  2055816  C?P PierCami 2010  15.6743   56962  6887*(131591#)/2730 - 1381994
  2079500  C?P MrtnRaab 2017  22.9895   39284  90833#/510510 - 1177176
  2254930  C?P RosntlJA 2004  11.2755   86853  1122483511942968776411893...
  2332764  C?P MrtnRaab 2017  25.7927   39279  90823#/510510 - 1065962
  2435476  C?P MrtnRaab 2016  10.6037   99750  230077#/2226961526790 - 994222
  2493532  C?P MrtnRaab 2016  10.8564   99750  230077#/2227349514390 - 1441218
  2559528  C?P MrtnRaab 2016  11.1438   99750  230077#/2228280684630 - 961364
  2586246  C?P MrtnRaab 2016  11.2601   99750  230077#/2226554139810 - 1616044
  2724214  C?P MJandJKA 2013  11.8311  100000  230563#/2310 - 44352
  2765878  C?P MJPC&JKA 2013  12.0114  100006  230567#/2310 - 939244
  2945060  C?P MrtnRaab 2016  12.8223   99750  230077#/2227174919970 - 1072622
  3311852  C?P MJandJKA 2012  14.6838   97953  226007#/2310 - 2305218
  3370374  C?P MrtnRaab 2017  11.2705  129873  300007#/9699690 - 2004098
  4680156  C?P MrtnRaab 2016  20.3767   99750  230077#/2229464046810 - 3131794
  5103138  C?P RobSmith 2016  10.2203  216849  281*499979#/46410 - 2702372
============================================================================