Proof-code: x38

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 x38, one of those codes.

Code name (*):x38   (See the descriptive data below.)
Persons (*):1 (counting humans only)
Projects (*):0 (counting projects only)
Display (HTML):Broadhurst, OpenPFGW, Primo
Number of primes:total 100
Unverified Primes:0 (prime table entries marked 'Composite','Untested', or 'InProcess'
Score for Primes (*):total 45.5730, on current list 33.8113
Entrance Rank (*):mean 69754.00 (minimum 35575, maximum 96021)

Descriptive Data: (report abuse)
The following methodology was used for Lehmer primitive parts: (1) Pari-GP for cyclotomic or Aurifeuillian factorizations of N^2-1; (2) GMP-ECM, Msieve or ggnfs for extracting PrP factors of such cofactors; (3) Primo or APR-CL for proving these helpers prime; (4) OpenPFGW for BLS tests with these prime helpers; (5) Pari-GP code for Williams--Lenstra, Konyagin--Pomerance, or Coppersmith--Howgrave-Graham proofs, where BLS was insufficient. For consecutive primes in arithmetic progression and for quintuplets, sieving was done by Pari-GP. In these cases, proving was by done Primo, for a CPAP4, and by Pari-GP's APR-CL, for a CPAP5 or quintuplet. For generalized unique primes, sieving was done by Pari-GP and proving by a CHG method, implemented in Pari-GP.
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Below is additional information about this entry.

Display (text):Broadhurst, OpenPFGW, Primo
Display (short):Broadhurst
Database id:4017 (do not use this database id, it is subject to change)
Proof program:unknown
Entry last modified:2024-06-15 19:37:10
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