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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 reflect 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 ... ... L5102, L5103, L5117, L5121, L5124
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Username: AthGFNSieve (entry created on 01/03/2003)
Database id:439 (entry last modified on 08/01/2020)
Program Does *: sieve
Active primes:on current list: 1189, rank by number 4
Total primes: number ever on any list: 2189
Production score: for current list 53 (normalized: 17949), total 53.9978, rank by score 4
Largest prime: 10590941048576 + 1 ‏(‎6317602 digits) via code L4720 on 11/04/2018
Most recent: 20674450131072 + 1 ‏(‎958849 digits) via code L4245 on 08/01/2020
Entrance Rank: mean 1813.56 (minimum 11, maximum 49141)

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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

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