3 316 993 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
13407929702426930475061467906600656641	38	123.3	2020-04-09 06:16:46

ECM

Digits	B1	Curves
25	50000	15 / 280

Estimated T-Level: 20.3 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Steven Berry	B0D6812F3F5E7834	0
Verified (Factored)	1999-12-23	Kevin Sexton	B0D6812F3F5E7834	2551577

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2020-04-09	ATH	40D036B283631583	1	316695	5	3
Verified	2020-04-09	mikr	40D036B283631583	1	1908854	5	3
Verified	2020-04-09	Igvan28	40D036B283631583	1	236868	5	3

P-1 factors

Date	Factor	B1	B2
2020-04-09	13407929702426930475061467906600656641	4000000	150000000

History

Date	User	Type	Result
2022-07-17	Joss	NF-PM1	B1=3316993, B2=3360012810
2022-04-10	Joss	NF-PM1	B1=1000000, B2=138424650
2022-04-09	Joss	NF-PM1	B1=1000000
2020-04-09	Igvan28	C-PRP	M3316993/13407929702426930475061467906600656641 : 40D036B283631583 PRP: Verified PRP without proof (not generated)
2020-04-09	mikr	C-PRP	M3316993/13407929702426930475061467906600656641 : 40D036B283631583 PRP: Verified PRP without proof (not generated)
2020-04-09	ATH	C-PRP	M3316993/13407929702426930475061467906600656641 : 40D036B283631583 PRP: Verified PRP without proof (not generated)
2020-04-09	mikr	F-PM1	Factor: 13407929702426930475061467906600656641 / (P-1, B1=4000000, B2=150000000, E=12)
2018-11-26	TJAOI	NF	no factor from 2^67 to 2^68
2017-05-30	Joss	NF-PM1	B1=360000, B2=3600000, E=6
2017-02-25	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-03-02	ramgeis	NF	no factor from 2^65 to 2^66
2012-11-20	Squeeky_Squirrel	NF-PM1	B1=180000, B2=3285000, E=6
2011-10-24	Aaron Haviland	NF	no factor from 2^64 to 2^65
2011-10-24	Aaron Haviland	NF	no factor from 2^63 to 2^64
2011-10-24	Aaron Haviland	NF	no factor from 2^62 to 2^63
2011-10-04	USAFSS	NF-PM1	B1=55000, B2=880000, E=6
2011-09-12	Grant McCracken	NF	no factor from 2^61 to 2^62
2009-08-14	Carsten Kossendey	NF-PM1	B1=15000, B2=195000
2009-03-31	S485122	NF	no factor from 2^60 to 2^61