3 163 969 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
26863957392051817080577	23	74.5	2021-01-18 15:51:13

ECM

Digits	B1	Curves
25	50000	30 / 280

Estimated T-Level: 20.5 ⓘ

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

Status	Date	User	Residue	Shift
Verified (Factored)		Dax Prather	4E08FF58DB02CBEB	0
Verified (Factored)	1998-11-07	Tom Cage	4E08FF58DB02CBEB	2557353

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2021-01-21	Klaus Nordmann	346569E8E2931944	1	876412	5	3
Verified	2021-04-04	ATH	346569E8E2931944	1	448234	5	3

History

Date	User	Type	Result
2022-02-12	Joss	NF-PM1	B1=1000000, B2=119912100
2021-04-04	Ben Delo	CERT	PRP Certification Proof certified good
2021-04-04	ATH	C-PRP	M3163969/26863957392051817080577 : 346569E8E2931944 PRP proof power = 7 PRP: Verified Proof certified good
2021-01-21	Klaus Nordmann	C-PRP	M3163969/26863957392051817080577 : 346569E8E2931944 PRP proof power = 7 PRP: Verified PRP proof never uploaded
2021-01-18	mnd9	F-ECM	Factor: 26863957392051817080577 / (ECM curve 6, B1=50000, B2=5000000, Sigma=2889298778799884)
2019-07-18	mikr	NF-PM1	B1=3000000, B2=100000000, E=12
2019-01-21	TJAOI	NF	no factor from 2^67 to 2^68
2017-04-22	Gordon Spence	NF	no factor from 2^66 to 2^67
2015-11-28	HBendtz	NF-PM1	B1=500000, B2=12000000, e=12
2015-06-17	Tha	NF	no factor from 2^65 to 2^66
2015-02-11	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-02-11	VictordeHollander	NF	no factor from 2^63 to 2^64
2013-01-03	dbaugh	NF	no factor from 2^62 to 2^63
2011-10-27	markr	NF	no factor from 2^61 to 2^62
2009-04-10	S485122	NF	no factor from 2^60 to 2^61