427 243 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
285051503357609844446707321	27	87.9	2019-05-08 02:32:04

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	200 / 640

Estimated T-Level: 26.6 ⓘ

TF below 2^83 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	3930	0
Verified (Factored)		Marinus van den Heuvel	6E041A4D3CEC3930	0
Verified (Factored)		Eivind Triel	6E041A4D3CEC3930	143779
Verified (Factored)	2002-02-10	Dennis Pope	6E041A4D3CEC3930	99678

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2019-05-08	ATH	61933B3A893D453A	1	96713	5	3
Verified	2019-05-09	kkmrkkblmbrbk	61933B3A893D453A	1	387957	5	3

History

Date	User	Type	Result
2019-05-09	kkmrkkblmbrbk	C-PRP	M427243/285051503357609844446707321 : 61933B3A893D453A PRP: Verified PRP without proof (small exponent)
2019-05-08	ATH	C-PRP	M427243/285051503357609844446707321 : 61933B3A893D453A PRP: Verified PRP without proof (small exponent)
2019-05-08	alex	F-ECM	Factor: 285051503357609844446707321 / (ECM curve 83, B1=250000, B2=25000000, Sigma=3155330978061412)
2018-12-09	Gordon Spence	NF	no factor from 2^65 to 2^66
2017-12-21	Gordon Spence	NF	no factor from 2^64 to 2^65
2016-02-23	Mark Rose	NF	no factor from 2^58 to 2^60
2015-11-15	Gordon Spence	NF	no factor from 2^63 to 2^64
2015-11-15	Gordon Spence	NF	no factor from 2^62 to 2^63
2013-01-06	markr	NF-PM1	B1=25000000, B2=1000000000, E=12
2012-12-01	dbaugh	NF	no factor from 2^61 to 2^62
2012-11-27	dbaugh	NF	no factor from 2^60 to 2^61
2012-05-29	Joss	NF-PM1	B1=3002051
2011-08-09	Joss	NF-PM1	B1=1000683
2010-08-03	Rob_Dee	NF-PM1	B1=1000000, B2=2000000, E=6
2010-08-02	Rob_Dee	NF-PM1	B1=500000, B2=1000000