3 288 953 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
21994351922396619675006481	26	84.2	2021-03-31 10:01:47

ECM

Digits	B1	Curves
25	50000	33 / 280

Estimated T-Level: 20.6 ⓘ

TF below 2^63 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Bill Doyle	451C4A8473D5055C	0
Verified (Factored)	1999-06-26	Ben Sandee	451C4A8473D5055C	554495

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2021-04-01	Joe S.	BE8863F3F64E88C9	1	928863	5	3

History

Date	User	Type	Result
2022-09-12	Joss	NF-PM1	B1=1000000, B2=241152450
2022-03-24	Joss	NF-PM1	B1=1000000, B2=134316000
2021-04-01	crutan	CERT	PRP Certification Proof certified good
2021-04-01	Joe S.	C-PRP	M3288953/21994351922396619675006481 : BE8863F3F64E88C9 PRP proof power = 7 PRP: Verified Proof certified good
2021-04-01	riccardo uberti	NF-PM1	B1=5000000, B2=100000000, E=12
2021-03-31	mnd9	F-ECM	Factor: 21994351922396619675006481 / (ECM curve 3, B1=50000, B2=5000000, Sigma=4307858769014126)
2018-11-19	TJAOI	NF	no factor from 2^67 to 2^68
2017-04-07	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-01-28	Joss	NF-PM1	B1=383400, B2=3834000, E=6
2015-06-29	Tha	NF	no factor from 2^65 to 2^66
2015-02-07	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-02-07	VictordeHollander	NF	no factor from 2^63 to 2^64
2014-10-10	Joss	NF-PM1	B1=99030
2014-06-26	-Anonymous-	NF-PM1	B1=79515
2012-12-30	dbaugh	NF	no factor from 2^62 to 2^63
2011-10-04	Grant McCracken	NF	no factor from 2^61 to 2^62
2011-09-25	USAFSS	NF-PM1	B1=60000, B2=1065000, E=6
2009-07-09	Carsten Kossendey	NF-PM1	B1=15000, B2=191250
2009-04-02	S485122	NF	no factor from 2^60 to 2^61