2 746 459 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
45674598919705605606223	23	75.3	2023-02-14 08:36:36

ECM

Digits	B1	Curves
25	50000	142 / 280

Estimated T-Level: 22.5 ⓘ

TF below 2^70 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	1998-01-05	Rick Pali	10D04DAD320B9DED	0
Verified (Factored)	1999-10-21	Brian J. Beesley	10D04DAD320B9DED	346065
Verified (Factored)	2018-08-13	kkmrkkblmbrbk	10D04DAD320B9DED	46624

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2023-02-14	Kevin_9611	A435671515A78147	1	1090621	5	3

P-1 factors

Date	Factor	B1	B2
2023-02-14	45674598919705605606223	5000000	8681331750

History

Date	User	Type	Result
2023-02-14	Chalkey300	CERT	PRP Certification Proof certified good
2023-02-14	Kevin_9611	C-PRP	M2746459/45674598919705605606223 : A435671515A78147 PRP proof power = 7 PRP: Verified Proof certified good
2023-02-14	Architects Cubed	F-PM1	Factor: 45674598919705605606223 / (P-1, B1=5000000, B2=8681331750)
2021-07-01	TJAOI	NF	no factor from 2^68 to 2^69
2019-02-19	chuenkit	NF	no factor from 2^67 to 2^68
2018-08-13	kkmrkkblmbrbk	C-LL	10D04DAD320B9DED
2017-10-09	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-11-22	mikr	NF-PM1	B1=2700000, B2=84000000, E=12
2016-02-23	Mark Rose	NF	no factor from 2^59 to 2^60
2016-02-04	ramgeis	NF	no factor from 2^65 to 2^66
2015-04-21	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-04-21	VictordeHollander	NF	no factor from 2^63 to 2^64
2013-01-14	dbaugh	NF	no factor from 2^62 to 2^63
2012-04-04	Grant McCracken	NF	no factor from 2^61 to 2^62
2011-05-02	James Heinrich	NF-PM1	B1=185000, B2=4625000, E=6
2011-01-21	Joss	NF-PM1	B1=50000
2010-12-29	Joss	NF-PM1	B1=30000
2010-12-21	Joss	NF-PM1	B1=20000
2009-01-26	Sturle Sunde	NF	no factor from 2^60 to 2^61