1 804 631 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
366236300985270180263	21	68.3	2015-05-03 06:52:38

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	107 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Robert Clark	B2BEC3FC05E843C5	0
Verified (Factored)	1999-05-23	Michael Boss	B2BEC3FC05E843C5	1665212

Status	Date	User	Residue	Shift	Type	Base
Verified (Factored)	2025-09-02	Kriesel	BD320D0C87F5A379	0	1	3

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-30	alpertron	79CAB5E0D67A3C6F	1	0	1	3
Verified	2017-10-19	Oliver Kruse	79CAB5E0D67A3C6F	1	1659912	1	3

P-1 factors

Date	Factor	B1	B2
2015-05-03	366236300985270180263	2780000	91760000

History

Date	User	Type	Result
2025-09-03	Klaus Vicaro	CERT	PRP Certification CERT proof power = 6 Proof certified good
2025-09-02	Kriesel	C-PRP	BD320D0C87F5A379 PRP proof power = 6 PRP: Verified (Factored) Proof certified good
2017-10-19	Oliver Kruse	C-PRP	M1804631/366236300985270180263 : 79CAB5E0D67A3C6F PRP: Verified PRP without proof (not generated)
2017-09-30	alpertron	C-PRP	M1804631/366236300985270180263 : 79CAB5E0D67A3C6F PRP: Verified PRP without proof (not generated)
2016-03-16	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2015-05-03	mikr	F-PM1	Factor: 366236300985270180263 / (P-1, B1=2780000, B2=91760000, E=12)
2015-04-20	snme2pm1	NF	no factor from 2^64 to 2^65
2015-04-20	snme2pm1	NF	no factor from 2^63 to 2^64
2014-09-20	Joss	NF-PM1	B1=171132
2014-05-12	Joss	NF-PM1	B1=135566
2011-02-08	Carsten Kossendey	NF-PM1	B1=100000, B2=1650000, E=6
2010-12-13	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2010-04-13	Architects Cubed	NF	no factor from 2^60 to 2^61