2 421 511 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
728582621456533022968563496361	30	99.2	2023-05-31 10:27:13

ECM

Digits	B1	Curves
25	50000	241 / 280

Estimated T-Level: 24.3 ⓘ

TF below 2^76 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		John Lloyd	62AD0ECD3C970494	0
Verified (Factored)	1999-03-26	John B. Meaders,Jr.	62AD0ECD3C970494	1391019
Verified (Factored)	2018-05-20	kkmrkkblmbrbk	62AD0ECD3C970494	2251670

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2023-05-31	Naegi Makoto	6437F06B0AD26562	1	2122873	5	3

P-1 factors

Date	Factor	B1	B2
2023-05-31	728582621456533022968563496361	1000000	3799936140

History

Date	User	Type	Result
2023-05-31	David McParland	CERT	PRP Certification Proof certified good
2023-05-31	Naegi Makoto	C-PRP	M2421511/728582621456533022968563496361 : 6437F06B0AD26562 PRP proof power = 7 PRP: Verified Proof certified good
2023-05-31	Joss	F-PM1	Factor: 728582621456533022968563496361 / (P-1, B1=1000000, B2=3799936140)
2022-12-29	Joss	NF-PM1	B1=1000000, B2=571651080
2020-12-05	Anton Repko	NF	no factor from 2^68 to 2^70
2019-04-29	TJAOI	NF	no factor from 2^67 to 2^68
2018-05-20	kkmrkkblmbrbk	C-LL	62AD0ECD3C970494
2017-07-05	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-02-23	Mark Rose	NF	no factor from 2^59 to 2^60
2015-10-23	ramgeis	NF	no factor from 2^65 to 2^66
2015-02-27	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-02-27	VictordeHollander	NF	no factor from 2^63 to 2^64
2014-04-11	mikr	NF-PM1	B1=2569240, B2=69524000, E=12
2013-01-23	dbaugh	NF	no factor from 2^62 to 2^63
2012-06-04	Sebastian Hornbostel	NF	no factor from 2^61 to 2^62
2011-01-23	Oscar Östlin	NF-PM1	B1=95000, B2=1923750, E=6
2010-11-12	Oscar Östlin	NF-PM1	B1=75011
2009-01-14	Sturle Sunde	NF	no factor from 2^60 to 2^61