The Prime Pages: Jens Kruse Andersen's APTreeSieve

Jens Kruse Andersen's APTreeSieve
(Another of the Prime Pages' resources)

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):

p179

E-mail address:

jens

(dot)

(at)

get2net

(dot)

Username:

APTreeSieve

(entry created on 10/04/2005)

Database id:

809

(entry last modified on 03/28/2006)

Program Does *:

sieve

Active primes:

on current list: 16, rank by number 21

Total primes:

number ever on any list: 28

Production score:

for current list 33 (normalized: 0), total 33.7022, rank by score 27

Largest prime:

(99241437759 · 205881 · 4001# · (205881 · 4001#+1)+210) · (205881 · 4001#-1)/35+1 ‏(‎5132 digits) via code p179 on 03/09/2006

Most recent:

(50105157104 · 205881 · 4001# · (205881 · 4001#+1)+210) · (205881 · 4001#-1)/35+7 ‏(‎5132 digits) via code p179 on 02/27/2007

Entrance Rank:

mean 37937.69 (minimum 36812, maximum 40192)

Descriptive Data: (report abuse)

APTreeSieve can sieve arithmetic progressions k*b + a with arbitrary a, b. It uses the GMP library and has sublinear speed in the size of a and b. However, it is not as fast as sieves written specifically for small a (e.g. +/-1) and b = base^n for small base.

I administer Jens Kruse Andersen's APTreeSieve and I would like to

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