Proof-code: g427

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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 g427, one of those codes.

Code name (*): g427 (See the descriptive data below.)

Persons (*): 1 (counting humans only)

Projects (*): 0 (counting projects only)

Display (HTML): Batalov, Srsieve, LLR, Proth.exe

Number of primes: total 8

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

Score for Primes (*): total 47.8107, on current list 47.7392 (normalized score 14)

Entrance Rank (*): mean 189.25 (minimum 83, maximum 308)

Descriptive Data: (report abuse)

This code is used for testing certain Proth primes, and determining order of 2 modulo these primes.
Following tradition, Proth.exe was initially used for the latter, but this was later refactored with a much faster solution based on minor changes to the code of LLR v.3.8.d. Order of 2 modulo primes where base is composite is only possible with this code (Proth.exe accepts k*q^n+1 only with prime q for the order test).

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Below is additional information about this entry.

Display (text): Batalov, Srsieve, LLR, Proth.exe

Display (short): Batalov

Database id: 7700 (do not use this database id, it is subject to change)

Proof program: Proth.exe The primes from this code accounts for 7.273% of the (active) primes and 2.370% of the (active) score for this program.

Entry last modified: 2024-11-21 14:37:09

Code name (*):	g427 (See the descriptive data below.)
Persons (*):	1 (counting humans only)
Projects (*):	0 (counting projects only)
Display (HTML):	Batalov, Srsieve, LLR, Proth.exe
Number of primes:	total 8
Unverified Primes:	0 (prime table entries marked 'Composite','Untested', or 'InProcess'
Score for Primes (*):	total 47.8107, on current list 47.7392 (normalized score 14)
Entrance Rank (*):	mean 189.25 (minimum 83, maximum 308)

Display (text):	Batalov, Srsieve, LLR, Proth.exe
Display (short):	Batalov
Database id:	7700 (do not use this database id, it is subject to change)
Proof program:	Proth.exe The primes from this code accounts for 7.273% of the (active) primes and 2.370% of the (active) score for this program.
Entry last modified:	2024-11-21 14:37:09