Note 2023 is the last year that I will maintain this site--there is currently no plan to continue it after that.

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 18:03:41 CDT)

Database id:

905

(entry last modified on 12/22/2022 21:11:41 CDT)

Program Does *:

sieve

Active primes:

on current list: 3152, rank by number 2

Total primes:

number ever on any list: 30145

Production score:

for current list 55 (normalized: 39607), total 55.3819, rank by score 3

Largest prime:

10223 · 2^31172165 + 1 ‏(‎9383761 digits) via code SB12 on 11/6/2016 12:15:13 CDT

Most recent:

781 · 2^1894473 - 1 ‏(‎570297 digits) via code L2257 on 12/26/2022 06:31:35 CDT

Entrance Rank:

mean 902.73 (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.

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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.

I administer Geoffrey Reynolds' srsieve and I would like to