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Proof-code: L321

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 L321, one of those codes.

Code name (*): L321 (See the descriptive data below.)

Persons (*): 1 (counting humans only)

Projects (*): 0 (counting projects only)

Display (HTML): Broadhurst, NewPGen, OpenPFGW, LLR

Number of primes: total 5

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

Score for Primes (*): total 45.7530, on current list 45.6498 (normalized score 2)

Entrance Rank (*): mean 42.50 (minimum 39, maximum 46)

Descriptive Data: (report abuse)

This provers' code is -- effectively -- the converse of p136. Previously, OpenPFGW was taken as the standard and older versions of LLR were tested thereby. Now we take LLR as the standard, for the Riesel-form k*2^n-1, and are happy to report that resultant tests of OpenPFGW are also successful.

137*2^n-1 is prime for

n = 2, 18, 38, 62, 2180, 2900, 3132, 3462, 3578, 5724, 5810, 18468, 30044, 36122, 37610, 43782, 310790, 1849238 ...

137137*2^n-1 is prime for

n = 9, 25, 41, 61, 201, 845, 5197, 6229, 8285, 11313, 15721, 69065, 93797, 96201, 206189, 687797, 725437, 978229, 1993201 ...

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Below is additional information about this entry.

Display (text): Broadhurst, NewPGen, OpenPFGW, LLR

Display (short): Broadhurst

Database id: 2965 (do not use this database id, it is subject to change)

Proof program: LLR The primes from this code accounts for 0.041% of the (active) primes and 0.003% of the (active) score for this program.

Entry last modified: 2023-03-26 18:37:10

Code name (*):	L321 (See the descriptive data below.)
Persons (*):	1 (counting humans only)
Projects (*):	0 (counting projects only)
Display (HTML):	Broadhurst, NewPGen, OpenPFGW, LLR
Number of primes:	total 5
Unverified Primes:	0 (prime table entries marked 'Composite','Untested', or 'InProcess'
Score for Primes (*):	total 45.7530, on current list 45.6498 (normalized score 2)
Entrance Rank (*):	mean 42.50 (minimum 39, maximum 46)

Display (text):	Broadhurst, NewPGen, OpenPFGW, LLR
Display (short):	Broadhurst
Database id:	2965 (do not use this database id, it is subject to change)
Proof program:	LLR The primes from this code accounts for 0.041% of the (active) primes and 0.003% of the (active) score for this program.
Entry last modified:	2023-03-26 18:37:10