3 174 373 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
476155951	9	28.8	old
20354790735553	14	44.2	2008-09-30 14:46:43
3019463156711334031	19	61.4	2016-04-25 12:12:36

ECM

Digits	B1	Curves
25	50000	74 / 280

Estimated T-Level: 21.3 ⓘ

TF below 2^66 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-10-31	Oliver Kruse	EC8E736CB2D4ECC8	3	964996	5	3
Verified	2017-12-12	kkmrkkblmbrbk	EC8E736CB2D4ECC8	3	2331459	5	3

History

Date	User	Type	Result
2022-10-07	Joss	NF-PM1	B1=1200000, B2=451528350
2022-09-03	Joss	NF-PM1	B1=1200000, B2=236513550
2022-04-01	LordJulius	NF	no factor from 2^66 to 2^67
2022-04-01	LordJulius	NF	no factor from 2^65 to 2^66
2022-01-07	Joss	NF-PM1	B1=1050000, B2=116447100
2021-11-10	Joss	NF	no factor from 2^68 to 2^69
2021-09-13	Joss	NF	no factor from 2^67 to 2^68
2021-01-17	Joss	NF	no factor from 2^64 to 2^65
2021-01-09	Joss	NF	no factor from 2^63 to 2^64
2021-01-06	Joss	NF	no factor from 2^62 to 2^63
2021-01-04	Joss	NF	no factor from 2^60 to 2^61
2021-01-04	Joss	NF	no factor from 2^59 to 2^60
2020-12-28	Joss	NF-PM1	B1=317437, B2=3174373, E=6
2017-12-12	kkmrkkblmbrbk	C-PRP	M3174373/476155951/20354790735553/3019463156711334031 : EC8E736CB2D4ECC8 PRP: Verified PRP without proof (not generated)
2017-10-31	Oliver Kruse	C-PRP	M3174373/476155951/20354790735553/3019463156711334031 : EC8E736CB2D4ECC8 PRP: Verified PRP without proof (not generated)
2016-04-25	TJAOI	F	Factor: 3019463156711334031 / TF: 61-62
2008-09-30	markr	F	Factor: 20354790735553