3 093 689 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
4755920775835747775676217	25	82.0	2021-11-17 09:05:51

ECM

Digits	B1	Curves
25	50000	81 / 280

Estimated T-Level: 21.4 ⓘ

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

Status	Date	User	Residue	Shift
Verified (Factored)	1998-02-08	Graeme McRae	9A735D8417A07214	0
Verified (Factored)	1999-05-30	Rajan Desai	9A735D8417A07214	287402

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2021-11-17	SRJ2877	133F6D9DB9FBE3A2	1	594587	5	3

History

Date	User	Type	Result
2022-02-20	Joss	NF-PM1	B1=1000000, B2=128282700
2022-01-20	Joss	NF	no factor from 2^67 to 2^68
2021-11-17	Quarkless	CERT	PRP Certification Proof certified good
2021-11-17	SRJ2877	C-PRP	M3093689/4755920775835747775676217 : 133F6D9DB9FBE3A2 PRP proof power = 7 PRP: Verified Proof certified good
2021-11-17	daveward2005	F-ECM	Factor: 4755920775835747775676217 / (ECM curve 3, B1=50000, B2=5000000, Sigma=6581383448409858)
2021-03-01	TJAOI	NF	no factor from 2^68 to 2^69
2018-08-19	ramgeis	NF	no factor from 2^67 to 2^68
2018-05-10	mikr	NF-PM1	B1=3000000, B2=100000000, E=12
2017-05-18	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-04-17	Joss	NF-PM1	B1=200000, B2=6170911, E=6
2015-06-11	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
2013-01-03	dbaugh	NF	no factor from 2^62 to 2^63
2011-12-02	Sid & Andy	NF	no factor from 2^61 to 2^62
2011-08-16	USAFSS	NF-PM1	B1=100000, B2=2125000, E=6
2009-07-03	Carsten Kossendey	NF-PM1	B1=15000, B2=180000
2009-02-13	Sturle Sunde	NF	no factor from 2^60 to 2^61