Reynolds and Brazier's PSieve

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):	L1115, L1116, L1117, L1118, L1119 ... ... L5350, L5352, L5353, L5356, L5358
E-mail address:	(e-mail address unpublished)
Username:	PSieve	(entry created on 11/22/09)
Database id:	2058	(entry last modified on 06/13/21)
Program Does *:	sieve
Active primes:	on current list: 2414, rank by number 3
Total primes:	number ever on any list: 20528
Production score:	for current list 53 (normalized: 13796), total 54.2409, rank by score 7
Largest prime:	121 · 2^9584444 + 1 ‏(‎2885208 digits) via code L5183 on 11/20/20
Most recent:	6073 · 2^3369544 + 1 ‏(‎1014338 digits) via code L5358 on 06/13/21
Entrance Rank:	mean 1086.22 (minimum 24, maximum 49657)

Descriptive Data: (report abuse)

A collection of 'fixed n' sieves capable of quickly processing multiple integer sequences in k and n of the form k*2^n+/-1, where k < 2^62, n < 2^31.

TPSieve: originally developed by Geoff Reynolds for the Twin Prime Search, was meant for use in a sieve with one or a few n's. It was then modified by Ken Brazier, in collaboration with Geoff Reynolds, to make many-n searching efficient, within the fixed-n format. Additional modifications by Ken allowed tpsieve to sieve for the combined forms of k*2^n+1/k*2^n-1.

PPSieve: developed by Ken Brazier, is a modified version of TPSieve that sieves for single primes of the form k*2^n+1. Its strength is the many-n optimization. Also, with the --riesel flag, it can sieve for k*2^n-1.

Error in data above: HTML_Tidy reports: line 22 column 75 - Warning: inserting implicit <p> line 7 column 1 - Warning: trimming empty <p> line 22 column 75 - Warning: trimming empty <p>

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

I administer Reynolds and Brazier's PSieve and I would like to