2 723 837 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
192435637121673533983	21	67.4	2016-11-28 20:52:10

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)		Stephen Wood	602E23D1B72D661A	0
Verified (Factored)	1999-08-22	Marcin Kowalczyk	602E23D1B72D661A	1078075

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-10-19	Oliver Kruse	6EA83A0908933926	1	273160	5	3
Verified	2017-12-05	trebor	6EA83A0908933926	1	2659049	5	3

History

Date	User	Type	Result
2023-02-25	USAFSS	NF-PM1	B1=360000, B2=287380170
2017-12-05	trebor	C-PRP	M2723837/192435637121673533983 : 6EA83A0908933926 PRP: Verified PRP without proof (not generated)
2017-10-19	Oliver Kruse	C-PRP	M2723837/192435637121673533983 : 6EA83A0908933926 PRP: Verified PRP without proof (not generated)
2016-11-28	Ensigma	F-ECM	Factor: 192435637121673533983 / (ECM curve 3, B1=50000, B2=5000000)
2016-02-23	Mark Rose	NF	no factor from 2^1 to 2^60
2016-01-31	ramgeis	NF	no factor from 2^65 to 2^66
2015-04-13	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-04-13	VictordeHollander	NF	no factor from 2^63 to 2^64
2013-01-10	dbaugh	NF	no factor from 2^62 to 2^63
2012-04-18	Grant McCracken	NF	no factor from 2^61 to 2^62
2011-02-24	James Heinrich	NF-PM1	B1=300000, B2=8000000, E=12
2011-01-18	Joss	NF-PM1	B1=50000
2010-12-28	Joss	NF-PM1	B1=30000
2010-12-19	Joss	NF-PM1	B1=20000
2009-02-01	Sturle Sunde	NF	no factor from 2^60 to 2^61