2 941 699 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
34078973752727679469681115996969212289023	41	134.6	2022-12-13 23:46:57

ECM

Digits	B1	Curves
25	50000	124 / 280

Estimated T-Level: 22.2 ⓘ

TF below 2^69 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	1998-02-19	Michel Lacoursière	85C5A0A739C2EB86	0
Verified (Factored)	1999-05-23	John Fricker	85C5A0A739C2EB86	1916788
Verified (Factored)	2018-10-10	kkmrkkblmbrbk	85C5A0A739C2EB86	1994745

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2022-12-14	/r/counting	E5A85208814E618C	1	11157	5	3

P-1 factors

Date	Factor	B1	B2
2022-12-13	34078973752727679469681115996969212289023	10000000	19223759100

History

Date	User	Type	Result
2022-12-14	curtisc	CERT	PRP Certification Proof certified good
2022-12-14	/r/counting	C-PRP	M2941699/34078973752727679469681115996969212289023 : E5A85208814E618C PRP proof power = 7 PRP: Verified Proof certified good
2022-12-13	mikr	F-PM1	Factor: 34078973752727679469681115996969212289023 / (P-1, B1=10000000, B2=19223759100)
2022-11-06	Joss	NF-PM1	B1=1200000, B2=3372218850
2021-05-24	TJAOI	NF	no factor from 2^68 to 2^69
2018-12-22	chuenkit	NF	no factor from 2^67 to 2^68
2018-10-10	kkmrkkblmbrbk	C-LL	85C5A0A739C2EB86
2017-11-28	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-02-24	ramgeis	NF	no factor from 2^65 to 2^66
2016-02-23	Mark Rose	NF	no factor from 2^1 to 2^60
2015-04-30	VictordeHollander	NF-PM1	B1=1000000, B2=20000000, E=12
2015-04-25	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-04-25	VictordeHollander	NF	no factor from 2^63 to 2^64
2013-01-07	dbaugh	NF	no factor from 2^62 to 2^63
2011-12-27	markr	NF	no factor from 2^61 to 2^62
2010-11-06	markr	NF-PM1	B1=105000, B2=2310000, E=6
2009-02-13	Sturle Sunde	NF	no factor from 2^60 to 2^61