254 281 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
70182427826695430932869823177	29	95.8	2020-01-13 21:12:07

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	197 / 1566

Estimated T-Level: 30.6 ⓘ

TF below 2^97 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	B0B	0
Verified (Factored)		Unknown	0B0B	0
Verified (Factored)		Brian J. Beesley	8D42A89CD7E78B0B	0
Verified (Factored)		Eivind Triel	8D42A89CD7E78B0B	94313
Verified (Factored)	2001-10-13	Brian J. Beesley	8D42A89CD7E78B0B	2466

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2020-01-13	nordi	D692115510C0E325	1	123398	5	3
Verified	2020-01-13	USAFSS	D692115510C0E325	1	108485	5	3

History

Date	User	Type	Result
2022-04-24	Oliver Kruse	NF-PM1	B1=30000000, B2=10170678207690
2021-08-30	Oliver Kruse	NF-PM1	B1=30000000, B2=3630000000, E=24
2020-01-13	USAFSS	C-PRP	M254281/70182427826695430932869823177 : D692115510C0E325 PRP: Verified PRP without proof (small exponent)
2020-01-13	nordi	C-PRP	M254281/70182427826695430932869823177 : D692115510C0E325 PRP: Verified PRP without proof (small exponent)
2020-01-13	nordi	F-ECM	Factor: 70182427826695430932869823177 / (ECM curve 37, B1=1000000, B2=100000000, Sigma=1717539600873684)
2020-01-01	Gordon Spence	NF	no factor from 2^65 to 2^66
2018-03-15	Gordon Spence	NF	no factor from 2^64 to 2^65
2016-05-13	Numberwang	NF-PM1	B1=2843, B2=71075
2016-01-30	Gordon Spence	NF	no factor from 2^63 to 2^64
2016-01-30	Gordon Spence	NF	no factor from 2^62 to 2^63
2015-08-25	NR	NF	no factor from 2^61 to 2^62
2015-01-16	Denial140	NF-PM1	B1=10000000, B2=250000000, E=12
2013-10-13	David Campeau	NF-PM1	B1=2570000, B2=71960000, E=12
2013-07-21	Sid & Andy	NF	no factor from 2^60 to 2^61
2012-02-26	Joss	NF-PM1	B1=2451376
2011-02-07	Joss	NF-PM1	B1=2000000
2009-01-24	Sturle Sunde	NF	no factor from 2^59 to 2^60
2008-12-31	Sturle Sunde	NF	no factor from 2^58 to 2^59