1 835 411 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
297654740594150577863	21	68.0	2011-02-07 12:47:15
88083883918026643002001	23	76.2	2021-05-14 12:08:33

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)		Rob Hooft	B41CEDAA6BF1927B	0
Verified (Factored)	1999-03-15	Konstantin V. Chevelev	B41CEDAA6BF1927B	861216

Status	Date	User	Residue	Shift	Type	Base
Verified (Factored)	2025-09-02	Kriesel	A5FF6976EF7C402E	0	1	3

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-04	Oliver Kruse	D5573E9A9450FF21	1	0	1	3
Verified (Factored)	2017-11-06	kkmrkkblmbrbk	D5573E9A9450FF21	1	192259	1	3
Verified	2021-05-14	Peter_Jakub	A5FF6976EF7C402E	2	310666	5	3

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	A5FF6976EF7C402E PRP proof power = 6 PRP: Verified (Factored) Proof certified good
2021-05-14	robbehermans	CERT	PRP Certification Proof certified good
2021-05-14	Peter_Jakub	C-PRP	M1835411/297654740594150577863/88083883918026643002001 : A5FF6976EF7C402E PRP proof power = 7 PRP: Verified Proof certified good
2021-05-14	TJAOI	F-ECM	Factor: 88083883918026643002001 / (ECM curve 124, B1=50000, B2=6600000)
2017-11-06	kkmrkkblmbrbk	C-PRP	M1835411/297654740594150577863 : D5573E9A9450FF21 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-04	Oliver Kruse	C-PRP	M1835411/297654740594150577863 : D5573E9A9450FF21 PRP: Verified (Factored) PRP without proof (not generated)
2016-03-16	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2011-02-07	Carsten Kossendey	F-PM1	Factor: 297654740594150577863
2011-01-21	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2010-04-12	Architects Cubed	NF	no factor from 2^60 to 2^61