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 2303) Entrance Rank (* ):mean 176.69 (minimum 12, maximum 1478)
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Descriptive Data:
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P.I.E.S. is the decade-old project to search for primes of
the form Φm (b) where m is a 3-smooth number.
Yves Gallot's Cyclo program (both CPU and GPU
implementations) can be used for m = 3 * 2n .
Prime95 with the option PhiExtensions=1 (or LLR with
modifications) can be used for m = 3v *
2n , where v<=2; for v=1, this is 1.5x
slower than CycloCPU but the range of values of b is 1.5x
wider.
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 3.386% of the (active) score for this program.Entry last modified: 2019-12-08 23:50:09
