3 340 531 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
140302303	9	27.1	old
835132751	9	29.6	2008-09-07 19:48:29
2349014631767	13	41.1	2008-09-30 14:47:23
331230311126703267943	21	68.2	2019-12-08 19:26:27

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)	2017-11-04	Oliver Kruse	54F4F040C4CABFDB	3	3008504	5	3
Verified (Factored)	2017-12-15	kkmrkkblmbrbk	54F4F040C4CABFDB	3	3203547	5	3
Verified	2019-12-09	Niels_Mache_Nextcloud	54F4F040C4CABFDB	4	1996284	5	3

P-1 factors

Date	Factor	B1	B2
2019-12-08	331230311126703267943	50000	400000

History

Date	User	Type	Result
2022-07-24	Joss	NF-PM1	B1=3340531, B2=3357069870
2021-08-23	Joss	NF	no factor from 2^68 to 2^69
2021-08-03	Joss	NF-PM1	B1=3340531
2021-02-02	Joss	NF	no factor from 2^67 to 2^68
2021-02-01	Joss	NF	no factor from 2^66 to 2^67
2021-01-30	Joss	NF	no factor from 2^65 to 2^66
2020-07-05	Joss	NF-PM1	B1=334053, B2=6681062, E=6
2020-05-01	Joss	NF-PM1	B1=334053, B2=3340531, E=6
2019-12-09	Niels_Mache_Nextcloud	C-PRP	M3340531/140302303/835132751/2349014631767/331230311126703267943 : 54F4F040C4CABFDB PRP: Verified PRP without proof (not generated)
2019-12-08	Joss	F-PM1	Factor: 331230311126703267943 / (P-1, B1=50000, B2=400000)
2017-12-15	kkmrkkblmbrbk	C-PRP	M3340531/140302303/835132751/2349014631767 : 54F4F040C4CABFDB PRP: Verified PRP without proof (not generated)
2017-11-04	Oliver Kruse	C-PRP	M3340531/140302303/835132751/2349014631767 : 54F4F040C4CABFDB PRP: Verified PRP without proof (not generated)
2008-09-30	markr	F	Factor: 2349014631767
2008-09-07	Will Edgington	F	Factor: 835132751