2 688 313 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
189799478685353	15	47.4	old
251636384872127683450259063	27	87.7	2024-07-03 05:22:06

ECM

Digits	B1	Curves
25	50000	81 / 280

Estimated T-Level: 21.4 ⓘ

TF below 2^66 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-19	Oliver Kruse	F447E18263ED9F07	1	1985962	5	3
Verified (Factored)	2017-12-04	kkmrkkblmbrbk	F447E18263ED9F07	1	1752210	5	3
Verified	2024-07-03	MarkS	F447E18263ED9F07	2	1317425	5	3

History

Date	User	Type	Result
2024-07-03	spect99	CERT	PRP Certification Proof certified good
2024-07-03	MarkS	C-PRP	M2688313/189799478685353/251636384872127683450259063 : F447E18263ED9F07 PRP proof power = 7 PRP: Verified Proof certified good
2024-07-03	MarkS	F-ECM	Factor: 251636384872127683450259063 / (ECM curve 41, B1=50000, B2=60054225, Edwards Sigma=5464454884631391)
2019-07-04	alpertron	NF-PM1	B1=2000000, B2=60000000, E=12
2017-12-04	kkmrkkblmbrbk	C-PRP	M2688313/189799478685353 : F447E18263ED9F07 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-19	Oliver Kruse	C-PRP	M2688313/189799478685353 : F447E18263ED9F07 PRP: Verified (Factored) PRP without proof (not generated)