3 575 483 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
7150967	7	22.8	old
109416930767	12	36.7	2008-09-07 19:50:05
1557315922583	13	40.5	2008-09-30 21:29:38
5016423901670953	16	52.2	2014-07-30 11:42:14

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	2017-11-09	Oliver Kruse	4AAAE9174AA4D8F0	4	226058	5	3
Verified	2017-12-18	kkmrkkblmbrbk	4AAAE9174AA4D8F0	4	2643825	5	3

History

Date	User	Type	Result
2022-10-05	Joss	NF-PM1	B1=1357548, B2=538183800
2022-09-03	Joss	NF-PM1	B1=1357548, B2=217278600
2022-03-08	Joss	NF-PM1	B1=1000000, B2=147632100
2022-01-28	Joss	NF	no factor from 2^67 to 2^68
2017-12-18	kkmrkkblmbrbk	C-PRP	M3575483/7150967/109416930767/1557315922583/5016423901670953 : 4AAAE9174AA4D8F0 PRP: Verified PRP without proof (not generated)
2017-11-09	Oliver Kruse	C-PRP	M3575483/7150967/109416930767/1557315922583/5016423901670953 : 4AAAE9174AA4D8F0 PRP: Verified PRP without proof (not generated)
2014-07-30	TJAOI	F	Factor: 5016423901670953
2008-09-30	markr	F	Factor: 1557315922583
2008-09-07	Will Edgington	F	Factor: 109416930767