253 937 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
5410309917695899197537302256930746407	37	122.0	2016-11-06 10:39:43

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	183 / 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	25C0	0
Verified (Factored)		Unknown	25C0	0
Verified (Factored)		Brian J. Beesley	AB8AADA7094FA5C0	0
Verified (Factored)		Eivind Triel	AB8AADA7094FA5C0	6005
Verified (Factored)	2001-10-13	Brian J. Beesley	AB8AADA7094FA5C0	3736

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	B7D6FBB96D492FEA	1	0	1	3
Verified	2017-10-12	Oliver Kruse	B7D6FBB96D492FEA	1	96503	1	3
Verified	2017-11-06	kkmrkkblmbrbk	B7D6FBB96D492FEA	1	174384	1	3
Verified	2020-04-17	Oliver Kruse	5D209126EE437420	1	99060	5	3
Verified	2024-02-03	Wentao Huang	5D209126EE437420	1	179823	5	3

History

Date	User	Type	Result
2024-02-03	slaur	CERT	PRP Certification Proof certified good
2024-02-03	Wentao Huang	C-PRP	M253937/5410309917695899197537302256930746407 : 5D209126EE437420 PRP proof power = 5 PRP: Verified Proof certified good
2020-04-17	Oliver Kruse	C-PRP	M253937/5410309917695899197537302256930746407 : 5D209126EE437420 PRP: Verified PRP without proof (small exponent)
2017-11-06	kkmrkkblmbrbk	C-PRP	M253937/5410309917695899197537302256930746407 : B7D6FBB96D492FEA PRP: Verified PRP without proof (small exponent)
2017-10-12	Oliver Kruse	C-PRP	M253937/5410309917695899197537302256930746407 : B7D6FBB96D492FEA PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M253937/5410309917695899197537302256930746407 : B7D6FBB96D492FEA PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M253937/5410309917695899197537302256930746407 : B7D6FBB96D492FEA PRP without proof (not generated)
2016-11-06	WileECoyote	F-ECM	Factor: 5410309917695899197537302256930746407 / (ECM curve 3, B1=250000, B2=25000000)
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
2011-11-01	Richard B. Woods	NF	no factor from 2^60 to 2^61
2009-12-12	alpertron	NF-PM1	B1=50000000, B2=1000000000, E=12
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