3 622 811 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Details

Composite, with 3 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁶⁴

Factored

Factor	Digits	Bits	Date
57649675513049	14	45.7	old
156464664085007	15	47.2	2008-09-30 21:29:47
51506263589462729321	20	65.5	2018-12-06 11:25:11

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	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	PRP without proof (not generated)	2017-09-20	kkmrkkblmbrbk	232F9604C391A786	2	0	1	3
Factored	PRP without proof (not generated)	2017-11-27	Oliver Kruse	232F9604C391A786	2	2023873	1	3
Verified	PRP without proof (not generated)	2018-12-08	Oliver Kruse	0405487C4B189267	3	861678	5	3
Verified	PRP without proof (not generated)	2018-12-08	storm5510	0405487C4B189267	3	2406989	5	3

History

Date	User	Type	Result
2022-09-09	Joss	NF-PM1	B1=1000000, B2=212677920
2022-06-13	LordJulius	NF	no factor TF: 66-67
2022-03-26	Joss	NF-PM1	B1=1000000, B2=147585900
2022-03-21	ANONYMOUS	NF-PM1	B1=100000, B2=38206140
2022-03-19	ANONYMOUS	NF-PM1	B1=100000
2022-02-15	Joss	NF	no factor TF: 67-68
2018-12-08	storm5510	C-PRP	M3622811/57649675513049/156464664085007/51506263589462729321 : 0405487C4B189267
2018-12-08	Oliver Kruse	C-PRP	M3622811/57649675513049/156464664085007/51506263589462729321 : 0405487C4B189267
2018-12-06	TJAOI	F	Factor: 51506263589462729321
2017-11-27	Oliver Kruse	C-PRP	M3622811/57649675513049/156464664085007 : 232F9604C391A786
2017-09-20	kkmrkkblmbrbk	C-PRP	M3622811/156464664085007/57649675513049 : 232F9604C391A786
2008-09-30	markr	F	Factor: 156464664085007