Dr. Thomas R. Nicely
Last updated 0500 GMT 20 March 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.
999999999 C?P WCFields 2004 113.7447 9999999 1234567890123456789Submissions of such gaps may be in the above format (explained in detail below), or in the simpler format
ggggggggg ppppppppppwhere 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).
If position 14 is a "?" (classification code "C??"), the bounding integers are probable primes (primes or base-2 pseudoprimes), but the interior integers of the gap have not been verified all composite to the satisfaction of Thomas R. Nicely; consequently, there remains a significant possibility that such a gap may in fact be smaller in measure than indicated, due to the as yet undetected presence of an interior prime.
Position 15 is blank.
============================================================================ 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 ============================================================================