3 471 059 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
6942119	7	22.7	old
140999394078607	15	47.0	2014-02-25 12:17:38
23559207981081812759	20	64.4	2017-09-19 12:35:14
2353840654573079065729	22	71.0	2019-11-14 17:21:40

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)	2017-11-07	Oliver Kruse	D88041C0F53083B0	3	466088	5	3
Verified (Factored)	2017-12-16	kkmrkkblmbrbk	D88041C0F53083B0	3	3179222	5	3
Verified	2019-11-15	Niels_Mache_Nextcloud	D88041C0F53083B0	4	707901	5	3
Verified	2019-11-15	francijezek	D88041C0F53083B0	4	1727174	5	3

P-1 factors

Date	Factor	B1	B2
2019-11-14	2353840654573079065729	45000	100000

History

Date	User	Type	Result
2022-07-23	Joss	NF-PM1	B1=3471059, B2=3513821850
2022-03-21	Joss	NF-PM1	B1=3471059, B2=1017545760
2021-08-29	Joss	NF-PM1	B1=3471059, B2=138842360, E=12
2021-08-27	Joss	NF-PM1	B1=3471059
2021-08-25	Joss	NF	no factor from 2^68 to 2^69
2021-01-31	Joss	NF	no factor from 2^67 to 2^68
2021-01-30	Joss	NF	no factor from 2^66 to 2^67
2021-01-30	Joss	NF	no factor from 2^65 to 2^66
2020-07-02	Joss	NF-PM1	B1=347105, B2=6942118, E=6
2020-04-27	Joss	NF-PM1	B1=347105, B2=3471059, E=6
2019-11-15	francijezek	C-PRP	M3471059/6942119/140999394078607/23559207981081812759/2353840654573079065729 : D88041C0F53083B0 PRP: Verified PRP without proof (not generated)
2019-11-15	Niels_Mache_Nextcloud	C-PRP	M3471059/6942119/140999394078607/23559207981081812759/2353840654573079065729 : D88041C0F53083B0 PRP: Verified PRP without proof (not generated)
2019-11-14	Joss	F-PM1	Factor: 2353840654573079065729 / (P-1, B1=45000, B2=100000)
2017-12-16	kkmrkkblmbrbk	C-PRP	M3471059/6942119/140999394078607/23559207981081812759 : D88041C0F53083B0 PRP: Verified PRP without proof (not generated)
2017-11-07	Oliver Kruse	C-PRP	M3471059/6942119/140999394078607/23559207981081812759 : D88041C0F53083B0 PRP: Verified PRP without proof (not generated)
2017-09-19	TJAOI	F	Factor: 23559207981081812759 / TF: 64-65
2014-02-25	TJAOI	F	Factor: 140999394078607