2 319 731 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
375796423	9	28.5	old
654997853715629004527	21	69.2	2018-02-27 21:11:22

ECM

Digits	B1	Curves
25	50000	183 / 280

Estimated T-Level: 23.3 ⓘ

TF below 2^72 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-11	Oliver Kruse	B5268390AF4E26A4	1	0	1	3
Verified (Factored)	2017-11-23	kkmrkkblmbrbk	B5268390AF4E26A4	1	554018	1	3
Verified	2018-02-27	ATH	F42FE1802CA913F6	2	795629	5	3
Verified	2018-03-04	Oliver Kruse	F42FE1802CA913F6	2	483546	5	3

P-1 factors

Date	Factor	B1	B2
2018-02-27	654997853715629004527	500000	15000000

History

Date	User	Type	Result
2021-04-24	ViliamF	NF-PM1	B1=5000000, B2=505000000
2018-03-04	Oliver Kruse	C-PRP	M2319731/375796423/654997853715629004527 : F42FE1802CA913F6 PRP: Verified PRP without proof (not generated)
2018-02-27	ATH	C-PRP	M2319731/375796423/654997853715629004527 : F42FE1802CA913F6 PRP: Verified PRP without proof (not generated)
2018-02-27	alpertron	F-PM1	Factor: 654997853715629004527 / (P-1, B1=500000, B2=15000000, E=12)
2017-11-23	kkmrkkblmbrbk	C-PRP	M2319731/375796423 : B5268390AF4E26A4 PRP: Verified PRP without proof (not generated)
2017-10-11	Oliver Kruse	C-PRP	M2319731/375796423 : B5268390AF4E26A4 PRP: Verified PRP without proof (not generated)