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 L4506, one of those codes.
Code name ( *): L4506 (See the descriptive data below.)
Persons ( *): 2 (counting humans only)
Projects ( *): 1 (counting projects only)
Display (HTML): Propper, Batalov, CycloSv, EMsieve, PIES, Prime95, LLR
Number of primes: total 16
Unverified Primes: 0 (prime table entries marked 'Composite','Untested', or 'InProcess')
Score for Primes ( *): total 51.8134, on current list 51.8134 (normalized score 2140)
Entrance Rank ( *): mean 176.69 (minimum 12, maximum 1478)
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P.I.E.S. is the decade-old project to search for primes of
the form Φ m(b) where m is a 3-smooth number.
Yves Gallot's Cyclo program (both CPU and GPU
implementations) can be used for m = 3 * 2
Prime95 with the option PhiExtensions=1 (or LLR with
modifications) can be used for m = 3 v *
2 n, where v<=2; for v=1, this is 1.5x
slower than CycloCPU but the range of values of b is 1.5x
In addition, Prime95 can be run in multi-threaded mode,
so the double-check can be an order of magnitude faster
than the intitial test.
Below is additional information about this entry.
Display (text): Propper, Batalov, CycloSv, EMsieve, PIES, Prime95, LLR
Display (short): Propper & Batalov
Database id: 8354 (do not use this database id, it is subject to change)
Proof program: LLR The primes from this code accounts for 0.326% of the (active) primes and 3.197% of the (active) score for this program.
Entry last modified: 2020-02-26 03:50:16