Samuel Yates began, and this site continues, a database of the largest known primes. Primes in that database are assigned a proof-code to show who should be credited with the discovery as well as what programs and projects they used. (Discoverers have one prover-entry, but may have many proof-codes because they use a variety of programs...) This page provides data on x21, one of those codes.
Code name ( *): x21 (See the descriptive data below.)
Persons ( *): 2 (counting humans only)
Projects ( *): 0 (counting projects only)
Display (HTML): Walker, Broadhurst
Number of primes: total 3
Unverified Primes: 0 (prime table entries marked 'Composite','Untested', or 'InProcess')
Score for Primes ( *): total 31.5209
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This code is used for proofs of generalized Lucas numbers
and their primitive parts. The following software was used:
(1) Pari-GP for cyclotomic (and, where appropriate,
Aurifeuillian) factorizations of N^2-1. (2) GMP-ECM and
SIQS for extracting PrP factors of such cyclotomic
cofactors. (3) Primo and VFYPR for proving these helpers
prime. (4) OpenPFGW for BLS tests with these prime helpers.
(5) Pari-GP for Williams-Lenstra proofs, since BLS was
insufficient. The distinctive contribution of Andrew Walker
was to identify the PrP targets.
Below is additional information about this entry.
Display (text): Walker, Broadhurst
Display (short): Walker & Broadhurst
Database id: 345 (do not use this database id, it is subject to change)
Proof program: unknown
Entry last modified: 2018-02-23 10:20:14