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 4/30/2025 14:37:23 UTC)

Program Does *:

sieve

Active primes:

on current list: 55, rank by number 16

Total primes:

number ever on any list: 155

Production score:

for current list 54 (normalized: 7194), total 54.3449, rank by score 14

Largest prime:

4052186 · 69^4052186 + 1 ‏(‎7451366 digits) via code A61 on 4/17/2025 12:15:47 UTC

Most recent:

4052186 · 69^4052186 + 1 ‏(‎7451366 digits) via code A61 on 4/17/2025 12:15:47 UTC

Entrance Rank:

mean 339.25 (minimum 13, maximum 3051)

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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