4 620 589 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
323441231	9	28.3	old
90540201967093372463647	23	76.3	2023-05-06 03:46:08

ECM

Digits	B1	Curves
25	50000	3 / 280

Estimated T-Level: 20.1 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-20	kkmrkkblmbrbk	273850E712DDA3D9	1	0	1	3
Verified (Factored)	2018-03-03	alan145	273850E712DDA3D9	1	809808	1	3
Verified	2023-05-06	Stef42	D958F4B940334669	2	2795473	5	3

P-1 factors

Date	Factor	B1	B2
2023-05-06	90540201967093372463647	3600000	59284535310

History

Date	User	Type	Result
2023-05-06	curtisc	CERT	PRP Certification Proof certified good
2023-05-06	Stef42	C-PRP	M4620589/323441231/90540201967093372463647 : D958F4B940334669 PRP proof power = 7 PRP: Verified Proof certified good
2023-05-06	Stef42	F-PM1	Factor: 90540201967093372463647 / (P-1, B1=3600000, B2=59284535310)
2018-03-03	alan145	C-PRP	M4620589/323441231 : 273850E712DDA3D9 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M4620589/323441231 : 273850E712DDA3D9 PRP: Verified (Factored) PRP without proof (not generated)