Proof-code: x20

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 x20, one of those codes.

Code name (*):x20   (See the descriptive data below.)
Persons (*):3 (counting humans only)
Projects (*):0 (counting projects only)
Display (HTML):Irvine, Broadhurst, Water
Number of primes:total 2
Unverified Primes:0 (prime table entries marked 'Composite','Untested', or 'InProcess'
Score for Primes (*):total 35.3533, on current list 35.3315
Entrance Rank (*):mean 54018.00 (minimum 54018, maximum 54018)

Descriptive Data: (report abuse)
The following software was used: (1) Pari-GP for cyclotomic (and, where appropriate, Aurifeuillian) factorizations of N^2-1. (2) GMP-ECM, MPQS, GNFS and SNFS, 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, Konyagin-Pomerance or CHG proofs, where BLS was insufficient. The distinctive contribution of Sean Irvine was to provide factorizations by intensive use of MPQS and NFS.
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Below is additional information about this entry.

Display (text):Irvine, Broadhurst, Water
Display (short):Irvine, Broadhurst & Water
Database id:182 (do not use this database id, it is subject to change)
Proof program:unknown
Entry last modified:2023-05-30 04:37:10
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