First known occurrence prime gaps
(1000000 to 999999998)

Thomas R. Nicely

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

Freeware copyright © 2016 Thomas R. Nicely. Released into the public domain by the author, who disclaims any legal liability arising from its use.

Last updated 0600 GMT 25 September 2016. 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...
  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
  1117820  C?P RobSmith 2016  11.2141   43291  149*99991#/46410 - 813426
  1176666  C?P MrtnRaab 2016  12.9561   39443  91199#/46473256830 - 629212
  1217460  C?P MrtnRaab 2015  13.4036   39448  91229#/46093437390 - 495038
  1224222  C?P RobSmith 2016  12.2811   43293  8263*99991#/46410 - 600164
  1286500  C?P Rosnthal 2016  25.8571   21608  1111111111111111111*49999#/(510510*499) - 525318
  1452592  C?P RobSmith 2016  14.5724   43291  451*99991#/46410 - 1136946
  1462522  C?P MrtnRaab 2015  16.1016   39448  91229#/46056680670 - 853776
  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
  2254930  C?P RosntlJA 2004  11.2755   86853  1122483511942968776411893...
  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
  4680156  C?P MrtnRaab 2016  20.3767   99750  230077#/2229464046810 - 3131794
  5103138  C?? RobSmith 2016  10.2203  216849  281*499979#/46410 - 2702372
============================================================================