3 470 587 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
34705871	8	25.0	old
23084741312807	14	44.4	2008-09-30 14:48:10
707372043110690110913	21	69.3	2019-05-29 18:37:36

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	3237EACB917408DD	2	745925	5	3
Verified (Factored)	2017-12-16	kkmrkkblmbrbk	3237EACB917408DD	2	1516078	5	3
Verified	2019-05-30	Niels_Mache_Nextcloud	3237EACB917408DD	3	1371972	5	3

P-1 factors

Date	Factor	B1	B2
2019-05-29	707372043110690110913	20000	200000

History

Date	User	Type	Result
2022-09-05	Joss	NF-PM1	B1=1150000, B2=213444000
2022-01-06	Joss	NF-PM1	B1=1150000, B2=111642300
2021-11-14	Joss	NF	no factor from 2^68 to 2^69
2021-08-05	Joss	NF	no factor from 2^67 to 2^68
2021-02-08	Joss	NF	no factor from 2^66 to 2^67
2021-02-08	Joss	NF	no factor from 2^65 to 2^66
2019-05-30	Niels_Mache_Nextcloud	C-PRP	M3470587/34705871/23084741312807/707372043110690110913 : 3237EACB917408DD PRP: Verified PRP without proof (not generated)
2019-05-29	Joss	F-PM1	Factor: 707372043110690110913 / (P-1, B1=20000, B2=200000)
2017-12-16	kkmrkkblmbrbk	C-PRP	M3470587/34705871/23084741312807 : 3237EACB917408DD PRP: Verified PRP without proof (not generated)
2017-11-07	Oliver Kruse	C-PRP	M3470587/34705871/23084741312807 : 3237EACB917408DD PRP: Verified PRP without proof (not generated)
2008-09-30	markr	F	Factor: 23084741312807