3 068 581 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
122743241	9	26.9	old
7234684307717944500767	22	72.6	2022-02-13 18:36:44

ECM

Digits	B1	Curves
25	50000	73 / 280

Estimated T-Level: 21.3 ⓘ

TF below 2^66 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-28	Oliver Kruse	2A668308616BDB99	1	459592	5	3
Verified (Factored)	2017-12-11	kkmrkkblmbrbk	2A668308616BDB99	1	2449208	5	3
Verified	2022-02-19	Poao	2A668308616BDB99	2	746233	5	3

P-1 factors

Date	Factor	B1	B2
2022-02-13	7234684307717944500767	2000000	119912100

History

Date	User	Type	Result
2022-08-19	Joss	NF-PM1	B1=3068581, B2=354763500
2022-02-19	carlds	CERT	PRP Certification Proof certified good
2022-02-19	Poao	C-PRP	M3068581/122743241/7234684307717944500767 : 2A668308616BDB99 PRP proof power = 7 PRP: Verified Proof certified good
2022-02-13	Joss	F-PM1	Factor: 7234684307717944500767 / (P-1, B1=2000000, B2=119912100)
2022-01-19	Joss	NF-PM1	B1=1000000, B2=1345098300
2021-04-04	Joss	NF	no factor from 2^67 to 2^68
2017-12-11	kkmrkkblmbrbk	C-PRP	M3068581/122743241 : 2A668308616BDB99 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-28	Oliver Kruse	C-PRP	M3068581/122743241 : 2A668308616BDB99 PRP: Verified (Factored) PRP without proof (not generated)