2 278 543 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
22785431	8	24.4	old
4262164545051506937335618281	28	91.8	2022-07-31 15:48:59

ECM

Digits	B1	Curves
25	50000	77 / 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)	2017-10-11	Oliver Kruse	7129002513C3F477	1	0	1	3
Verified (Factored)	2017-11-22	kkmrkkblmbrbk	7129002513C3F477	1	2011886	1	3
Verified	2022-07-31	LordJulius	DEF3E8EB95E81DFC	2	2079070	5	3

History

Date	User	Type	Result
2022-07-31	curtisc	CERT	PRP Certification Proof certified good
2022-07-31	LordJulius	C-PRP	M2278543/22785431/4262164545051506937335618281 : DEF3E8EB95E81DFC PRP proof power = 7 PRP: Verified Proof certified good
2022-07-31	_p95holder_	F-ECM	Factor: 4262164545051506937335618281 / (ECM curve 4, B1=50000, B2=5000000)
2017-11-22	kkmrkkblmbrbk	C-PRP	M2278543/22785431 : 7129002513C3F477 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-11	Oliver Kruse	C-PRP	M2278543/22785431 : 7129002513C3F477 PRP: Verified (Factored) PRP without proof (not generated)
2016-04-08	alpertron	NF-PM1	B1=500000, B2=15000000, E=12