3 436 289 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
3812531948381251999	19	61.7	2009-06-27 16:51:47

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	Shift
Verified (Factored)		Peter Joachim	D589A389B8406446	0
Verified (Factored)	1999-08-31	slow gamma repeator	D589A389B8406446	2207298

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-11-06	Oliver Kruse	92E588D360D8342A	1	1484385	5	3
Verified	2017-12-16	kkmrkkblmbrbk	92E588D360D8342A	1	283367	5	3

P-1 factors

Date	Factor	B1	B2
2022-01-21	3812531948381251999	90000	90000

History

Date	User	Type	Result
2022-05-05	LordJulius	NF	no factor from 2^66 to 2^67
2022-05-05	LordJulius	NF	no factor from 2^65 to 2^66
2022-05-05	LordJulius	NF	no factor from 2^64 to 2^65
2022-05-05	LordJulius	NF	no factor from 2^63 to 2^64
2022-05-05	LordJulius	NF	no factor from 2^62 to 2^63
2022-04-10	Joss	NF-PM1	B1=1000000, B2=126668850
2022-01-21	Joss	F-PM1	Factor: 3812531948381251999 / (P-1, B1=90000, B2=90000)
2021-04-16	Joss	NF	no factor from 2^67 to 2^68
2017-12-16	kkmrkkblmbrbk	C-PRP	M3436289/3812531948381251999 : 92E588D360D8342A PRP: Verified PRP without proof (not generated)
2017-11-06	Oliver Kruse	C-PRP	M3436289/3812531948381251999 : 92E588D360D8342A PRP: Verified PRP without proof (not generated)
2009-06-27	Chang Chia-Tche	F-ECM	Factor: 3812531948381251999
2009-03-22	S485122	NF	no factor from 2^60 to 2^61