1 086 523 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
26076553	8	24.6	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	712B6B791718C69B	0	1	3

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-29	Oliver Kruse	215B3A4BEE74E9D9	1	0	1	3
Verified	2017-10-16	Oliver Kruse	215B3A4BEE74E9D9	1	193320	1	3
Verified	2018-01-03	ATH	215B3A4BEE74E9D9	1	759187	1	3

History

Date	User	Type	Result
2025-09-01	twmoss	CERT	PRP Certification CERT proof power = 6 Proof certified good
2025-09-01	Kriesel	C-PRP	712B6B791718C69B PRP proof power = 6 PRP: Verified (Factored) Proof certified good
2024-10-04	timc995	NF-PM1	B1=2000000, B2=63130867800
2018-01-03	ATH	C-PRP	M1086523/26076553 : 215B3A4BEE74E9D9 PRP: Verified PRP without proof (not generated)
2017-10-16	Oliver Kruse	C-PRP	M1086523/26076553 : 215B3A4BEE74E9D9 PRP: Verified PRP without proof (not generated)
2017-09-29	Oliver Kruse	C-PRP	M1086523/26076553 : 215B3A4BEE74E9D9 PRP: Verified PRP without proof (not generated)