42 349 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
273934443730307466400313999813703601409	39	127.7	2016-12-19 02:18:58

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	795 / 4588

Estimated T-Level: 35.9 ⓘ

TF below 2^114 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Unknown	081E	0
Verified (Factored)		George Woltman	E431DB0C2B6E881E	0
Verified (Factored)		Brian J. Beesley	E431DB0C2B6E881E	0
Verified (Factored)	2015-04-11	MadPoo	E431DB0C2B6E881E	21331

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	D6A26706B2D0E904	1	0	1	3
Verified	2017-09-21	Oliver Kruse	D6A26706B2D0E904	1	0	1	3
Verified	2017-11-06	kkmrkkblmbrbk	D6A26706B2D0E904	1	41077	1	3
Unverified	2020-04-17	Oliver Kruse	8B8BDCA00EC01E__	1	7388	5	3

P-1 factors

Date	Factor	B1	B2
2016-12-19	273934443730307466400313999813703601409	1000000000	102851514613680

History

Date	User	Type	Result
2020-04-17	Oliver Kruse	C-PRP	M42349/273934443730307466400313999813703601409 : 8B8BDCA00EC01E__ PRP without proof (small exponent)
2017-11-06	kkmrkkblmbrbk	C-PRP	M42349/273934443730307466400313999813703601409 : D6A26706B2D0E904 PRP without proof (small exponent)
2017-09-21	Oliver Kruse	C-PRP	M42349/273934443730307466400313999813703601409 : D6A26706B2D0E904 PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M42349/273934443730307466400313999813703601409 : D6A26706B2D0E904 PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M42349/273934443730307466400313999813703601409 : D6A26706B2D0E904 PRP without proof (not generated)
2016-12-19	kkmrkkblmbrbk	F-PM1	Factor: 273934443730307466400313999813703601409 / (P-1, B1=1000000000, B2=102851514613680)
2016-09-21	Sid & Andy	NF	no factor from 2^62 to 2^63
2016-05-16	Joss	NF-PM1	B1=200000000, B2=3600000000, E=12
2016-02-23	LaurV	NF	no factor from 2^57 to 2^58
2015-04-11	MadPoo	C-LL	E431DB0C2B6E881E
2014-07-14	Sid & Andy	NF	no factor from 2^61 to 2^62
2013-11-28	LaurV	NF	no factor from 2^60 to 2^61
2012-06-16	alpertron	NF-PM1	B1=100000000, B2=2000000000, E=12
2012-05-15	Joss	NF-PM1	B1=60115492
2012-02-17	Joss	NF-PM1	B1=25048121
2011-07-19	Joss	NF-PM1	B1=20038497
2009-02-08	Sturle Sunde	NF	no factor from 2^59 to 2^60
2009-01-09	Sturle Sunde	NF	no factor from 2^58 to 2^59