1 097 419 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
788193254267423	15	49.5	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	100 / 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)	2025-09-01	Kriesel	3DE9566963F1ADEA	0	1	3

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-29	Oliver Kruse	AB47DAF3096FD840	1	0	1	3
Verified	2017-10-16	Oliver Kruse	AB47DAF3096FD840	1	1063316	1	3
Verified	2017-12-31	ATH	AB47DAF3096FD840	1	367208	1	3

History

Date	User	Type	Result
2025-09-02	lou_chengkai	CERT	PRP Certification CERT proof power = 6 Proof certified good
2025-09-01	Kriesel	C-PRP	3DE9566963F1ADEA PRP proof power = 6 PRP: Verified (Factored) Proof certified good
2024-10-12	timc995	NF-PM1	B1=2000000, B2=147581083650
2017-12-31	ATH	C-PRP	M1097419/788193254267423 : AB47DAF3096FD840 PRP: Verified PRP without proof (not generated)
2017-10-16	Oliver Kruse	C-PRP	M1097419/788193254267423 : AB47DAF3096FD840 PRP: Verified PRP without proof (not generated)
2017-09-29	Oliver Kruse	C-PRP	M1097419/788193254267423 : AB47DAF3096FD840 PRP: Verified PRP without proof (not generated)