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 47.7803 (normalized score 38)
Entrance Rank ( *): mean 1105.17 (minimum 83, maximum 4053)
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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).
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 6.383% of the (active) primes and 2.403% of the (active) score for this program.
Entry last modified: 2020-02-26 05:20:35