2 591 623 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
476858633	9	28.8	old
147131367575756043889	21	67.0	2021-03-31 11:30:51

ECM

Digits	B1	Curves
25	50000	100 / 280

Estimated T-Level: 21.8 ⓘ

TF below 2^67 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-15	Oliver Kruse	DC800F7C655B4607	1	2197768	5	3
Verified (Factored)	2017-12-02	kkmrkkblmbrbk	DC800F7C655B4607	1	191283	5	3
Verified	2021-03-31	rbanov	DC800F7C655B4607	2	994344	5	3

History

Date	User	Type	Result
2022-09-04	USAFSS	NF-PM1	B1=240000, B2=191586780
2021-03-31	Greg	CERT	PRP Certification Proof certified good
2021-03-31	rbanov	C-PRP	M2591623/476858633/147131367575756043889 : DC800F7C655B4607 PRP proof power = 7 PRP: Verified Proof certified good
2021-03-31	TJAOI	F	Factor: 147131367575756043889 / TF: 66-67
2017-12-02	kkmrkkblmbrbk	C-PRP	M2591623/476858633 : DC800F7C655B4607 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-15	Oliver Kruse	C-PRP	M2591623/476858633 : DC800F7C655B4607 PRP: Verified (Factored) PRP without proof (not generated)