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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 reflect 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 ... ... L5112, L5196, L5209, L5211, L5227
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Username: CRUS (entry created on 01/15/2008)
Database id:1372 (entry last modified on 01/16/2021)
Active primes:on current list: 447.5, rank by number 3
Total primes: number ever on any list: 820.5
Production score: for current list 52 (normalized: 3005), total 52.4064, rank by score 5
Largest prime: 6962 · 312863120 - 1 ‏(‎4269952 digits) via code L4944 on 02/29/2020
Most recent: 280 · 53333574 + 1 ‏(‎575177 digits) via code L4294 on 02/25/2021
Entrance Rank: mean 1285.83 (minimum 20, maximum 4352)

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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.

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