David Underbakke's AthGFNSieve


A titan, as defined by Samuel Yates, is anyone who has found a titanic prime. This page provides data on those that have found these primes. The data below only reflects on the primes currently on the list. (Many of the terms that are used here are explained on another page.)

g244, g289, g295, g296, g297 ... ... L5782, L5784, L5786, L5785, L5788
E-mail address:
Web page:http://www.underbakke.com/AthGFNsv
Username AthGFNSieve (entry created on 1/4/2003 03:35:55 UTC)
Database id:439 (entry last modified on 6/2/2023 20:41:49 UTC)
Program Does *: sieve
Active primes:on current list: 1277, rank by number 4
Total primes: number ever on any list: 4447
Production score: for current list 54 (normalized: 19634), total 54.7665, rank by score 4
Largest prime: 19637361048576 + 1 ‏(‎6598776 digits) via code L4245 on 9/26/2022 22:28:41 UTC
Most recent: 27065078065536 + 1 ‏(‎552627 digits) via code L5416 on 6/4/2023 23:08:27 UTC
Entrance Rank: mean 1745.35 (minimum 11, maximum 48408)
Unprocessed: prime submissions still untested or inprocess: 4.

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AthGFNSv and the 64 bit program AthGfn64 are programs to rapidly presieve Generalized Fermat candidates removing composite numbers. AthGFNSv supports trial division for small ranges and both programs support wide mode true sieve for larger ranges. The 64 bit version is 60%-80% faster.

They can be found at http://www.underbakke.com/AthGFNSv

Surname: AthGFNSieve (used for alphabetizing and in codes).
Unverified primes are omitted from counts and lists until verification completed.
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