Geoffrey Reynolds' srsieve

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

Srsieve

(entry created on 7/4/2006 23:03:41 UTC)

Database id:

905

(entry last modified on 1/19/2025 02:38:19 UTC)

Program Does *:

sieve

Active primes:

on current list: 3091, rank by number 2

Total primes:

number ever on any list: 32168

Production score:

for current list 55 (normalized: 44519), total 56.0200, rank by score 4

Largest prime:

10223 · 2^31172165 + 1 ‏(‎9383761 digits) via code SB12 on 11/6/2016 18:15:13 UTC

Most recent:

8979 · 2^2099382 + 1 ‏(‎631981 digits) via code L6104 on 1/19/2025 04:24:14 UTC

Entrance Rank:

mean 1070.84 (minimum 7, maximum 56919)

Descriptive Data: (report abuse)

A 'fixed k' sieve for multiple integer sequences in n of the form k*b^n+c, where k < 2^64, |c| < 2^63, b < 2^32.

Srsieve was originally developed to speed up sieving for the Sierpinski/Riesel base 5 projects, which seek primes of the form k*5^n+/-1 for certain even values of k.

Some specialised versions of the program are faster in certain cases:

sr1sieve: A single sequence k*b^n+/-1 with k < 2^64, b < 2^32.

sr2sieve: Multiple sequences k*b^n+/-1 or b^n+/-k with k < 2^32, b < 2^32.

sr5sieve: Multiple base 5 sequences k*5^n+/-1 with k < 2^32.

Surname: Srsieve (used for alphabetizing and in codes).
Note that the prime search page will not display more than 16,000 primes.
Unverified primes are omitted from counts and lists until verification completed.

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