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
E-mail address: (e-mail address unpublished)
Web page:
Username: PolySieve (entry created on 07/22/13)
Database id:3934 (entry last modified on 01/31/21)
Program Does *: sieve
Active primes:on current list: 36, rank by number 17
Total primes: number ever on any list: 100
Production score: for current list 48 (normalized: 85), total 48.8305, rank by score 23
Largest prime: 1228267623 · 23321910 - 1 ‏(‎1000004 digits) via code L4808 on 06/03/19
Most recent: 113225039190926127209 · 2339#/57057 + 7 ‏(‎1002 digits) via code c88 on 01/28/21
Entrance Rank: mean 66578.75 (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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