1 078 411 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
21999584401	11	34.4	old
363390908525860456057	21	68.3	2017-02-24 16:20:40

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	B5126B109DAF6EE8	0	1	3

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-28	Oliver Kruse	89813E5A37CC7716	2	0	1	3
Verified	2017-10-18	kkmrkkblmbrbk	89813E5A37CC7716	2	902623	1	3

History

Date	User	Type	Result
2025-09-01	Wolfy339	CERT	PRP Certification CERT proof power = 6 Proof certified good
2025-09-01	Kriesel	C-PRP	B5126B109DAF6EE8 PRP proof power = 6 PRP: Verified (Factored) Proof certified good
2024-08-21	cramsey87	NF-PM1	B1=7000000, B2=58926602280
2017-10-18	kkmrkkblmbrbk	C-PRP	M1078411/21999584401/363390908525860456057 : 89813E5A37CC7716 PRP: Verified PRP without proof (not generated)
2017-09-28	Oliver Kruse	C-PRP	M1078411/21999584401/363390908525860456057 : 89813E5A37CC7716 PRP: Verified PRP without proof (not generated)
2017-02-24	TJAOI	F-ECM	Factor: 363390908525860456057 / (ECM curve 72, B1=50000, B2=5000000)