25 703 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
51407	5	15.6	old
1079527	7	20.0	2008-08-26 19:59:12
4421789903	10	32.0	2008-08-26 19:59:12
556496632644143	15	49.0	2009-04-04 14:32:53
17429752404579437839645370556999871	35	113.7	2018-07-05 02:41:22

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	802 / 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	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	F8D575E6BD7E0858	4	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	F8D575E6BD7E0858	4	0	1	3
Verified (Factored)	2017-12-07	ATH	F8D575E6BD7E0858	4	22558	1	3
Verified	2018-07-05	_p95holder_	050062F464E25127	5	13380	5	3
Verified	2018-07-05	Martin Russell	050062F464E25127	5	14833	5	3
Verified (Factored)	2022-05-12	Jorge Coveiro	050062F464E25127	1	12752	5	3

History

Date	User	Type	Result
2024-03-02	nordi	NF-PM1	B1=8000000000, B2=2407973292835110
2023-05-05	nordi	NF-PM1	B1=8000000000
2022-05-12	Jorge Coveiro	C-PRP	M25703/51407 : 050062F464E25127 PRP: Verified (Factored) PRP without proof (small exponent)
2018-07-05	Martin Russell	C-PRP	M25703/51407/1079527/4421789903/556496632644143/17429752404579437839645370556999871 : 050062F464E25127 PRP: Verified (Factored) PRP without proof (small exponent)
2018-07-05	_p95holder_	C-PRP	M25703/51407/1079527/4421789903/556496632644143/17429752404579437839645370556999871 : 050062F464E25127 PRP: Verified (Factored) PRP without proof (small exponent)
2018-07-05	kkmrkkblmbrbk	F-ECM	Factor: 17429752404579437839645370556999871 / (ECM curve 831, B1=1000000, B2=100000000)
2017-12-07	ATH	C-PRP	M25703/51407/1079527/4421789903/556496632644143 : F8D575E6BD7E0858 PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M25703/51407/1079527/4421789903/556496632644143 : F8D575E6BD7E0858 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M25703/known_factors : F8D575E6BD7E0858 PRP without proof (not generated)
2016-12-09	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=10000000000, E=12
2009-04-04	Matthias Wurtinger	F-ECM	Factor: 556496632644143
2008-08-26	-Anonymous-	F	Factor: 4421789903
2008-08-26	-Anonymous-	F	Factor: 1079527