1 864 769 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
263139102508660969245857	24	77.8	2013-09-30 13:58:05

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	106 / 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)		John Borleis III	0A94808B0BAED8AE	0
Verified (Factored)	1998-12-13	Jagdish S. Patel	0A94808B0BAED8AE	546890

Status	Date	User	Residue	Shift	Type	Base
Verified (Factored)	2025-09-02	Kriesel	F086BF043679EE5B	0	1	3

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-10-04	Oliver Kruse	297E699B2A105F9A	1	0	1	3
Verified	2017-11-07	kkmrkkblmbrbk	297E699B2A105F9A	1	801164	1	3

History

Date	User	Type	Result
2025-09-03	Carlos Pinho	CERT	PRP Certification CERT proof power = 6 Proof certified good
2025-09-02	Kriesel	C-PRP	F086BF043679EE5B PRP proof power = 6 PRP: Verified (Factored) Proof certified good
2022-03-08	LordJulius	NF	no factor from 2^58 to 2^60
2017-11-07	kkmrkkblmbrbk	C-PRP	M1864769/263139102508660969245857 : 297E699B2A105F9A PRP: Verified PRP without proof (not generated)
2017-10-04	Oliver Kruse	C-PRP	M1864769/263139102508660969245857 : 297E699B2A105F9A PRP: Verified PRP without proof (not generated)
2016-03-16	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2013-09-30	OS1	F-ECM	Factor: 263139102508660969245857
2012-01-07	markr	NF-PM1	B1=275000, B2=6000000, E=12
2011-03-08	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2010-04-06	Architects Cubed	NF	no factor from 2^60 to 2^61