9 214 847 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
71264654128556520250765638626002276961713	41	135.7	2021-07-18 05:21:16

ECM

Digits	B1	Curves
25	50000	3 / 280

Estimated T-Level: 20.1 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	2000-02-09	Kevin Urciolo	7E8C9999B383F3AF	8718409
Verified (Factored)	2003-06-17	Ars Technica Team Prime Rib	7E8C9999B383F3AF	3600115

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2021-07-23	LOBES	007C65EE58ACBC2C	1	7733084	5	3

P-1 factors

Date	Factor	B1	B2
2021-07-18	71264654128556520250765638626002276961713	2000000	162000000
2022-03-13	71264654128556520250765638626002276961713	2000000	4047953910

History

Date	User	Type	Result
2022-03-13	Tha	F-PM1	Factor: 71264654128556520250765638626002276961713 / (P-1, B1=2000000, B2=4047953910)
2021-07-23	curtisc	CERT	PRP Certification Proof certified good
2021-07-23	LOBES	C-PRP	M9214847/71264654128556520250765638626002276961713 : 007C65EE58ACBC2C PRP proof power = 8 PRP: Verified Proof certified good
2021-07-18	Tha	F-PM1	Factor: 71264654128556520250765638626002276961713 / (P-1, B1=2000000, B2=162000000)
2019-10-11	mnd9	NF	no factor from 2^68 to 2^69
2017-03-08	snme2pm1	NF	no factor from 2^67 to 2^68
2016-04-25	snme2pm1	NF	no factor from 2^66 to 2^67
2015-05-08	VictordeHollander	NF	no factor from 2^65 to 2^66
2013-09-08	Nesowa	NF	no factor from 2^64 to 2^65
2012-09-26	Nesowa	NF-PM1	B1=110000, B2=2035000, E=6