Geoffrey Reynolds' gcwsieve

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:

g_w_reynolds

(at)

yahoo

(dot)

Web page:

http://sites.google.com/site/geoffreywalterreynolds/programs/

Username

gcwsieve

(entry created on 8/8/2007 22:41:11 UTC)

Database id:

1223

(entry last modified on 2/3/2024 17:01:40 UTC)

Program Does *:

sieve

Active primes:

on current list: 58, rank by number 14

Total primes:

number ever on any list: 149

Production score:

for current list 53 (normalized: 7287), total 53.8821, rank by score 13

Largest prime:

8508301 · 2^17016603 - 1 ‏(‎5122515 digits) via code L4784 on 3/22/2018 10:20:51 UTC

Most recent:

4788920 · 3^9577840 - 1 ‏(‎4569798 digits) via code A20 on 2/14/2024 17:00:06 UTC

Entrance Rank:

mean 522.36 (minimum 13, maximum 4033)

Descriptive Data: (report abuse)

A sieve for generalised Cullen/Woodall numbers n*b^n+/-1, where n < 2^32, b < 2^32. This sieve requires an existing ABC file (as produced by MultiSieve) with all factors smaller than the greatest exponent n already removed. The algorithm is based on an idea of Harsh Aggarwal, implemented with the help of Mark Rodenkirch.

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

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