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 ... ... A14, A15, A16, A17, A21
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Username CRUS (entry created on 1/16/2008 00:08:15 UTC)
Database id:1372 (entry last modified on 2/13/2024 05:53:12 UTC)
Active primes:on current list: 478.5, rank by number 2
Total primes: number ever on any list: 1050
Production score: for current list 52 (normalized: 2688), total 52.8982, rank by score 5
Largest prime: 6962 · 312863120 - 1 ‏(‎4269952 digits) via code L5410 on 2/29/2020 08:27:37 UTC
Most recent: 580633 · 27208783 - 1 ‏(‎2170066 digits) via code A11 on 2/15/2024 18:17:30 UTC
Entrance Rank: mean 1442.66 (minimum 20, maximum 4686)

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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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