3 312 347 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
18319257848833437049919	23	74.0	2021-06-02 09:52:29

ECM

Digits	B1	Curves
25	50000	41 / 280

Estimated T-Level: 20.7 ⓘ

TF below 2^64 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		John Patrick	98A62AB51DC38D49	0
Verified (Factored)	1999-06-26	rob l'huillier	98A62AB51DC38D49	2085318

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2021-06-04	kutens	09563378640613C4	1	1516510	5	3

History

Date	User	Type	Result
2022-09-10	Joss	NF-PM1	B1=1000000, B2=245252700
2022-04-10	Joss	NF-PM1	B1=1000000, B2=138424650
2022-04-09	Joss	NF-PM1	B1=1000000
2021-06-04	curtisc	CERT	PRP Certification Proof certified good
2021-06-04	kutens	C-PRP	M3312347/18319257848833437049919 : 09563378640613C4 PRP proof power = 7 PRP: Verified Proof certified good
2021-06-02	kutens	F-ECM	Factor: 18319257848833437049919 / (ECM curve 6, B1=50000, B2=4800000, Sigma=6192354059099654)
2020-03-10	mikr	NF-PM1	B1=4000000, B2=150000000, E=12
2018-12-03	TJAOI	NF	no factor from 2^67 to 2^68
2017-05-30	Joss	NF-PM1	B1=360000, B2=3600000, E=6
2017-02-24	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-03-01	ramgeis	NF	no factor from 2^65 to 2^66
2012-11-18	Squeeky_Squirrel	NF-PM1	B1=180000, B2=3285000, E=6
2011-10-17	Aaron Haviland	NF	no factor from 2^64 to 2^65
2011-10-17	Aaron Haviland	NF	no factor from 2^63 to 2^64
2011-10-17	Aaron Haviland	NF	no factor from 2^62 to 2^63
2011-10-02	USAFSS	NF-PM1	B1=55000, B2=880000, E=6
2011-09-16	Grant McCracken	NF	no factor from 2^61 to 2^62
2009-07-03	Carsten Kossendey	NF-PM1	B1=15000, B2=195000
2009-03-30	S485122	NF	no factor from 2^60 to 2^61