409 753 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
18700281420711092748518759	26	84.0	2019-04-25 02:37:02

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	375 / 640

Estimated T-Level: 27.9 ⓘ

TF below 2^88 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	320F	0
Verified (Factored)		george brunton	3D33022184D5F20F	0
Verified (Factored)		Eivind Triel	3D33022184D5F20F	364791
Verified (Factored)	2002-02-10	Dennis Pope	3D33022184D5F20F	95232

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2019-04-27	_p95holder_	A1AFE501C62313EE	1	264193	5	3
Verified	2019-04-27	matzetoni	A1AFE501C62313EE	1	327237	5	3
Verified	2019-04-27	kkmrkkblmbrbk	A1AFE501C62313EE	1	105527	5	3

History

Date	User	Type	Result
2019-04-27	kkmrkkblmbrbk	C-PRP	M409753/18700281420711092748518759 : A1AFE501C62313EE PRP: Verified PRP without proof (small exponent)
2019-04-27	matzetoni	C-PRP	M409753/18700281420711092748518759 : A1AFE501C62313EE PRP: Verified PRP without proof (small exponent)
2019-04-27	_p95holder_	C-PRP	M409753/18700281420711092748518759 : A1AFE501C62313EE PRP: Verified PRP without proof (small exponent)
2019-04-25	alex	F-ECM	Factor: 18700281420711092748518759 / (ECM curve 125, B1=250000, B2=25000000, Sigma=4838810503951001)
2019-03-16	alex	NF-PM1	B1=10000000, B2=500000000, E=12
2018-12-01	Gordon Spence	NF	no factor from 2^65 to 2^66
2017-12-15	Gordon Spence	NF	no factor from 2^64 to 2^65
2016-07-15	Joss	NF-PM1	B1=5000000, B2=560000000, E=12
2016-05-30	Joss	NF-PM1	B1=5000000, B2=280000000, E=12
2016-05-13	Numberwang	NF-PM1	B1=4581, B2=114525
2016-02-23	Mark Rose	NF	no factor from 2^58 to 2^60
2015-11-09	Gordon Spence	NF	no factor from 2^63 to 2^64
2015-11-09	Gordon Spence	NF	no factor from 2^62 to 2^63
2015-07-14	NR	NF	no factor from 2^61 to 2^62
2011-05-29	Sid & Andy	NF	no factor from 2^60 to 2^61
2010-05-23	James Hintz	NF-PM1	B1=5000000, B2=140000000, E=12
2008-12-08	markr	NF-PM1	B1=1400000, B2=35000000, E=12