3 051 017 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
822509068226373614901313	24	79.4	2020-10-14 18:06:19

ECM

Digits	B1	Curves
25	50000	17 / 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
Bad	1998-02-08	William Jelsma	DFF600CD8C6D2373	0
Verified (Factored)	1999-10-15	Luisma Moreno	D7E0AE933836D62E	794515
Verified (Factored)	1999-12-30	Laurie A. Riley	D7E0AE933836D62E	2161781

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2020-10-15	tottenhoff	9C1306D8BE3465D0	1	2323977	5	3
Verified	2020-10-16	kutens	9C1306D8BE3465D0	1	2245631	5	3

History

Date	User	Type	Result
2022-09-07	Joss	NF-PM1	B1=1055100, B2=226749600
2022-01-23	Joss	NF-PM1	B1=1055100, B2=119912100
2021-01-16	Joss	NF-PM1	B1=305101, B2=3051017, E=6
2021-01-14	Joss	NF-PM1	B1=305101
2020-10-16	curtisc	CERT	PRP Certification Proof certified good
2020-10-16	kutens	C-PRP	M3051017/822509068226373614901313 : 9C1306D8BE3465D0 PRP proof power = 7 PRP: Verified Proof certified good
2020-10-15	tottenhoff	C-PRP	M3051017/822509068226373614901313 : 9C1306D8BE3465D0 PRP: Verified PRP without proof (not generated)
2020-10-14	mnd9	F-ECM	Factor: 822509068226373614901313 / (ECM curve 2, B1=50000, B2=5000000, Sigma=7325573509026528)
2018-07-25	ramgeis	NF	no factor from 2^67 to 2^68
2017-09-28	mikr	NF-PM1	B1=3000000, B2=100000000, E=12
2017-05-06	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-03-16	Squeeky_Squirrel	NF-PM1	B1=205000, B2=5688750, E=12
2015-06-06	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
2013-01-07	dbaugh	NF	no factor from 2^62 to 2^63
2011-03-19	Sid & Andy	NF	no factor from 2^61 to 2^62
2010-10-04	markr	NF-PM1	B1=110000, B2=2447500, E=6
2009-02-13	Sturle Sunde	NF	no factor from 2^60 to 2^61