Conjectures 'R Us


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.)

L532, L538, L540, L541, L550 ... ... L5415, L5426, L5436, L5580, L5629
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Username CRUS (entry created on 1/15/2008 18:08:15 CDT)
Database id:1372 (entry last modified on 2/1/2023 20:39:16 CDT)
Active primes:on current list: 484.5, rank by number 2
Total primes: number ever on any list: 979
Production score: for current list 52 (normalized: 2720), total 52.6777, rank by score 4
Largest prime: 6962 · 312863120 - 1 ‏(‎4269952 digits) via code L5410 on 2/29/2020 02:27:37 CDT
Most recent: 1958 · 687198762 - 1 ‏(‎563883 digits) via code L4955 on 1/28/2023 15:45:05 CDT
Entrance Rank: mean 1401.05 (minimum 20, maximum 4089)

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Our project aims to prove many of the Riesel and Sierpinski conjectures for bases 2 thru 1030 that are not currently being worked on by other projects or efforts.

For every base (b) for the forms k*b^n+1 and k*b^n-1, there exists a k-value for each form that is conjectured to be the lowest 'Sierpinski value' (+1 form) or 'Riesel value' (-1) that is composite for all values of n >= 1.

k's that have a trivial factor (one factor the same) for all n-values as well as k's that make Generalized Fermat #'s are not considered.

We also have a BOINC effort named SRBase that helps greatly in working on the project. Details can be found at:

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