42 737 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
542280975142237477071005102443059419300063	42	138.6	2019-02-20 12:43:49

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1293 / 9201

Estimated T-Level: 40.7 ⓘ

TF below 2^130 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Unknown	1F1D	0
Verified (Factored)		George Woltman	25D8AA9A555E1F1D	0
Verified (Factored)		Brian J. Beesley	25D8AA9A555E1F1D	0
Verified (Factored)	2015-04-11	MadPoo	25D8AA9A555E1F1D	2929

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2019-02-20	ATH	14BDABD7E797B865	1	29312	5	3
Verified	2019-02-20	alex	14BDABD7E797B865	1	17242	5	3
Verified	2019-02-20	kkmrkkblmbrbk	14BDABD7E797B865	1	35229	5	3

History

Date	User	Type	Result
2023-05-11	JacobZ	NF-PM1	B1=840000000, B2=614024905343850
2019-02-20	kkmrkkblmbrbk	C-PRP	M42737/542280975142237477071005102443059419300063 : 14BDABD7E797B865 PRP: Verified PRP without proof (small exponent)
2019-02-20	alex	C-PRP	M42737/542280975142237477071005102443059419300063 : 14BDABD7E797B865 PRP: Verified PRP without proof (small exponent)
2019-02-20	ATH	C-PRP	M42737/542280975142237477071005102443059419300063 : 14BDABD7E797B865 PRP: Verified PRP without proof (small exponent)
2019-02-20	kkmrkkblmbrbk	F-ECM	Factor: 542280975142237477071005102443059419300063 / (ECM curve 229, B1=3000000, B2=300000000, Sigma=4370966866741672)
2018-06-17	Yxinity	NF	no factor from 2^63 to 2^64
2018-06-13	Yxinity	NF	no factor from 2^63 to 2^64
2016-09-05	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	25D8AA9A555E1F1D
2014-07-21	Sid & Andy	NF	no factor from 2^61 to 2^62
2013-11-28	LaurV	NF	no factor from 2^60 to 2^61
2012-06-17	alpertron	NF-PM1	B1=100000000, B2=2000000000, E=12
2012-05-15	Joss	NF-PM1	B1=59408794
2012-02-17	Joss	NF-PM1	B1=24753664
2011-07-19	Joss	NF-PM1	B1=19802931
2009-02-07	Sturle Sunde	NF	no factor from 2^59 to 2^60
2009-01-10	Sturle Sunde	NF	no factor from 2^58 to 2^59