1 794 539 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
13494933281	11	33.7	old
357773651353	12	38.4	2008-07-15 07:46:43
6713618575133501879	19	62.5	2016-08-29 11:06:56
8136204823426555847	19	62.8	2015-06-30 00:14:09

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	108 / 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	Type	Base
Verified (Factored)	2025-09-02	Kriesel	820D30396251400C	0	1	3

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-10-05	Oliver Kruse	F7C349BF7AA1CB77	4	0	1	3
Verified	2017-11-11	kkmrkkblmbrbk	F7C349BF7AA1CB77	4	374640	1	3

P-1 factors

Date	Factor	B1	B2
2015-06-30	8136204823426555847	500000	15000000

History

Date	User	Type	Result
2025-09-03	Oliver Kruse	CERT	PRP Certification CERT proof power = 6 Proof certified good
2025-09-02	Kriesel	C-PRP	820D30396251400C PRP proof power = 6 PRP: Verified (Factored) Proof certified good
2022-04-15	LordJulius	NF	no factor from 2^63 to 2^64
2022-04-15	LordJulius	NF	no factor from 2^61 to 2^62
2017-11-11	kkmrkkblmbrbk	C-PRP	M1794539/13494933281/357773651353/6713618575133501879/8136204823426555847 : F7C349BF7AA1CB77 PRP: Verified PRP without proof (not generated)
2017-10-05	Oliver Kruse	C-PRP	M1794539/13494933281/357773651353/8136204823426555847/6713618575133501879 : F7C349BF7AA1CB77 PRP: Verified PRP without proof (not generated)
2017-10-03	Oliver Kruse	C-PRP	M1794539/13494933281/357773651353/8136204823426555847/6713618575133501879 : F7C349BF7AA1CB77 PRP without proof (not generated)
2016-08-29	TJAOI	F	Factor: 6713618575133501879 / TF: 62-63
2015-06-30	alpertron	F-PM1	Factor: 8136204823426555847 / (P-1, B1=500000, B2=15000000, E=12)
2008-07-15	J Feitsma	F	Factor: 357773651353