3 180 589 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
16472482576274824434889	23	73.8	2015-12-03 14:56:58

ECM

Digits	B1	Curves
25	50000	95 / 280

Estimated T-Level: 21.7 ⓘ

TF below 2^67 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	1998-04-05	Mike Morgan	F497BEFA845828C3	0
Verified (Factored)	2000-02-16	Thomas Honold	F497BEFA845828C3	116709

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-30	alpertron	69895787911144A3	1	0	1	3
Verified	2017-11-18	Oliver Kruse	69895787911144A3	1	1643927	1	3

P-1 factors

Date	Factor	B1	B2
2015-12-03	16472482576274824434889	500000	12000000

History

Date	User	Type	Result
2022-04-02	LordJulius	NF	no factor from 2^66 to 2^67
2021-12-22	Joss	NF-PM1	B1=3180589, B2=637437570
2021-12-19	Joss	NF-PM1	B1=3180589, B2=108997350
2021-07-11	Joss	NF	no factor from 2^67 to 2^68
2021-07-11	Joss	NF-PM1	B1=3180589
2021-01-17	Joss	NF-PM1	B1=318058, B2=3180589, E=6
2017-11-18	Oliver Kruse	C-PRP	M3180589/16472482576274824434889 : 69895787911144A3 PRP: Verified PRP without proof (not generated)
2017-09-30	alpertron	C-PRP	M3180589/16472482576274824434889 : 69895787911144A3 PRP: Verified PRP without proof (not generated)
2015-12-03	HBendtz	F-PM1	Factor: 16472482576274824434889 / (P-1, B1=500000, B2=12000000, e=12, n=162K CUDAPm1 v0.20)
2015-06-18	Tha	NF	no factor from 2^65 to 2^66
2015-02-15	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-02-15	VictordeHollander	NF	no factor from 2^63 to 2^64
2013-01-03	dbaugh	NF	no factor from 2^62 to 2^63
2011-10-29	markr	NF-PM1	B1=210000, B2=4987500, E=6
2011-10-25	Grant McCracken	NF	no factor from 2^61 to 2^62
2009-07-03	Carsten Kossendey	NF-PM1	B1=15000, B2=191250
2009-04-09	S485122	NF	no factor from 2^60 to 2^61