Robert Gerbicz's PolySieve


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): p359, L4342, c83, c88, L4808, p408, c93, p422
E-mail address: (e-mail address unpublished)
Web page:
Username PolySieve (entry created on 7/22/2013 08:49:43 UTC)
Database id:3934 (entry last modified on 9/7/2021 15:33:45 UTC)
Program Does *: sieve
Active primes:on current list: 48, rank by number 18
Total primes: number ever on any list: 118
Production score: for current list 48 (normalized: 50), total 48.8305, rank by score 25
Largest prime: 1228267623 · 23321910 - 1 ‏(‎1000004 digits) via code L4808 on 6/3/2019 18:23:10 UTC
Most recent: 11922002779 · (2172486 - 286243) + 286245 - 5 ‏(‎51934 digits) via code p408 on 5/3/2022 23:51:31 UTC
Entrance Rank: mean 69604.90 (minimum 475, maximum 126262)

Descriptive Data: (report abuse)

Sieve of P(s)+a*Q(s)+c for multiple c values, with fixed s=k*b^n+d; where P,Q is a polynom; s=k*b^n+d and 'a' is running parameter.

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