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.)

Proof-code(s):

E-mail address:

david9

(at)

underbakke

(dot)

com

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 11/1/2025 17:42:57 UTC)

Program Does *:

sieve

Active primes:

on current list: 1969, rank by number 3

Total primes:

number ever on any list: 5902

Production score:

for current list 55 (normalized: 24617), total 55.8968, rank by score 7

Largest prime:

2524190^2097152 + 1 ‏(‎13426224 digits) via code L4245 on 10/17/2025 08:55:50 UTC

Most recent:

377190902¹³¹⁰⁷² + 1 ‏(‎1124148 digits) via code L4760 on 11/30/2025 17:01:48 UTC

Entrance Rank:

mean 761.27 (minimum 6, maximum 39098)

Unprocessed:

prime submissions still untested or inprocess: 6.

Descriptive Data: (report abuse)

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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