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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 reflect 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E-mail address: (e-mail address unpublished)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 07/22/2013)
Database id:3934 (entry last modified on 04/24/2020)
Program Does *: sieve
Active primes:on current list: 26, rank by number 18
Total primes: number ever on any list: 88
Production score: for current list 48 (normalized: 98), total 48.8305, rank by score 23
Largest prime: 1228267623 · 23321910 - 1 ‏(‎1000004 digits) via code L4808 on 06/03/2019
Most recent: 664342014133 · 239840 - 59 ‏(‎12005 digits) via code c93 on 04/27/2020
Entrance Rank: mean 48481.92 (minimum 475, maximum 78740)

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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