2 260 529 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
705895390831	12	39.4	old
500093919108649	15	48.8	2014-04-15 11:52:31
24941225394152052871	20	64.4	2017-10-09 13:42:24
862711569273113658752657	24	79.5	2022-12-21 01:09:05

ECM

Digits	B1	Curves
25	50000	201 / 280

Estimated T-Level: 23.6 ⓘ

TF below 2^73 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-10	Oliver Kruse	78184B20E81597AF	3	0	1	3
Verified (Factored)	2017-10-11	Yaroslav Berezhko	78184B20E81597AF	3	0	1	3
Verified (Factored)	2017-10-29	Oliver Kruse	78184B20E81597AF	3	12640	1	3
Verified	2022-12-29	Perig	A624B0C91F686BFD	4	531021	5	3

History

Date	User	Type	Result
2022-12-29	Massimo Cappelli (ik5pwa)	CERT	PRP Certification Proof certified good
2022-12-29	Perig	C-PRP	M2260529/705895390831/500093919108649/24941225394152052871/862711569273113658752657 : A624B0C91F686BFD PRP proof power = 7 PRP: Verified Proof certified good
2022-12-21	_p95holder_	F-ECM	Factor: 862711569273113658752657 / (ECM curve 7, B1=50000, B2=5000000)
2017-10-29	Oliver Kruse	C-PRP	M2260529/705895390831/500093919108649/24941225394152052871 : 78184B20E81597AF PRP: Verified (Factored) PRP without proof (not generated)
2017-10-11	Yaroslav Berezhko	C-PRP	M2260529/705895390831/500093919108649/24941225394152052871 : 78184B20E81597AF PRP: Verified (Factored) PRP without proof (not generated)
2017-10-10	Oliver Kruse	C-PRP	M2260529/known_factors : 78184B20E81597AF PRP: Verified (Factored) PRP without proof (not generated)
2017-10-09	TJAOI	F	Factor: 24941225394152052871 / TF: 64-65
2016-04-16	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2014-04-15	TJAOI	F	Factor: 500093919108649