Proof-code: CH4

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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 CH4, one of those codes.

Code name (*): CH4 (See the descriptive data below.)

Persons (*): 3 (counting humans only)

Projects (*): 0 (counting projects only)

Display (HTML): Irvine, Broadhurst, Water, OpenPFGW, Primo, CHG

Number of primes: total 3

Unverified Primes: 0 (prime table entries marked 'Composite','Untested', or 'InProcess'

Score for Primes (*): total 37.3809, on current list 37.2491

Entrance Rank (*): mean 22027.00 (minimum 14655, maximum 29399)

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, SNFS and GNFS for extracting PrP factors of such cyclotomic cofactors.

(3) Primo for proving these helpers prime.

(4) OpenPFGW for BLS tests with these prime helpers.

(5) David Broadhurst's corrections to John Renze's implementation of CHG in Pari-GP for exhausting the residue classes established by PFGW.

The largest effort was expended on factorization, notably by Sean Irvine.

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Below is additional information about this entry.

Display (text): Irvine, Broadhurst, Water, OpenPFGW, Primo, CHG

Display (short): Irvine, Broadhurst & Water

Database id: 1085 (do not use this database id, it is subject to change)

Proof program: CHG The primes from this code accounts for 7.143% of the (active) primes and 0.001% of the (active) score for this program.

Entry last modified: 2024-10-31 03:37:14

Code name (*):	CH4 (See the descriptive data below.)
Persons (*):	3 (counting humans only)
Projects (*):	0 (counting projects only)
Display (HTML):	Irvine, Broadhurst, Water, OpenPFGW, Primo, CHG
Number of primes:	total 3
Unverified Primes:	0 (prime table entries marked 'Composite','Untested', or 'InProcess'
Score for Primes (*):	total 37.3809, on current list 37.2491
Entrance Rank (*):	mean 22027.00 (minimum 14655, maximum 29399)

Display (text):	Irvine, Broadhurst, Water, OpenPFGW, Primo, CHG
Display (short):	Irvine, Broadhurst & Water
Database id:	1085 (do not use this database id, it is subject to change)
Proof program:	CHG The primes from this code accounts for 7.143% of the (active) primes and 0.001% of the (active) score for this program.
Entry last modified:	2024-10-31 03:37:14