Proof-code: p449

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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 p449, one of those codes.

Code name (*): p449 (See the descriptive data below.)

Persons (*): 1 (counting humans only)

Projects (*): 0 (counting projects only)

Display (HTML): Rodriguez2, OpenPFGW

Number of primes: total 1

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

Score for Primes (*): total 46.9255, on current list 46.9255 (normalized score 6)

Entrance Rank (*): mean 975.00 (minimum 975, maximum 975)

Descriptive Data: (report abuse)

The prime follows the format n = p * q + 1
To prove the primality using pfgw, you need to create a helper file named helper.txt containing p (either as the expression or the actual number), which is the large factor of n−1.
The prime p has already been proven to be prime (in this case, I'm using a Mersenne prime).
Then, use the following command:
pfgw64 -t -hhelper.txt -q"primetoprove"
Then, pfgw will do a Pocklington's test with the large factor.
This method follows the Pocklington theorem, adapted for finding primes

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Below is additional information about this entry.

Display (text): Rodriguez2, OpenPFGW

Display (short): Rodriguez2

Database id: 10307 (do not use this database id, it is subject to change)

Proof program: PrimeForm The primes from this code accounts for 0.242% of the (active) primes and 0.310% of the (active) score for this program.

Entry last modified: 2024-11-21 12:37:15

Code name (*):	p449 (See the descriptive data below.)
Persons (*):	1 (counting humans only)
Projects (*):	0 (counting projects only)
Display (HTML):	Rodriguez2, OpenPFGW
Number of primes:	total 1
Unverified Primes:	0 (prime table entries marked 'Composite','Untested', or 'InProcess'
Score for Primes (*):	total 46.9255, on current list 46.9255 (normalized score 6)
Entrance Rank (*):	mean 975.00 (minimum 975, maximum 975)

Display (text):	Rodriguez2, OpenPFGW
Display (short):	Rodriguez2
Database id:	10307 (do not use this database id, it is subject to change)
Proof program:	PrimeForm The primes from this code accounts for 0.242% of the (active) primes and 0.310% of the (active) score for this program.
Entry last modified:	2024-11-21 12:37:15