273 289 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
1665833646079	13	40.6	old
464919666893474967631	21	68.7	2014-08-22 10:16:34
1584844718967719428957013050169	31	100.3	2020-09-20 04:20:18

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	541 / 640

Estimated T-Level: 29.2 ⓘ

TF below 2^92 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-22	Oliver Kruse	476F48A4EB7BEC9D	2	0	1	3
Verified (Factored)	2017-10-13	Oliver Kruse	9F228D45E957DA19	2	33999	5	3
Verified (Factored)	2017-10-13	Oliver Kruse	476F48A4EB7BEC9D	2	137222	1	3
Verified (Factored)	2017-11-02	kkmrkkblmbrbk	9F228D45E957DA19	2	68355	5	3
Verified (Factored)	2019-04-09	kkmrkkblmbrbk	476F48A4EB7BEC9D	2	253543	1	3
Verified	2020-09-20	mnd9	9F228D45E957DA19	3	216985	5	3
Verified	2020-09-20	pew	9F228D45E957DA19	3	196241	5	3

History

Date	User	Type	Result
2022-03-21	Lisander Viaene	NF-PM1	B1=5550000, B2=22789551330
2022-03-20	Lisander Viaene	NF-PM1	B1=5550000
2022-01-03	Lisander Viaene	NF-PM1	B1=100000
2020-09-22	Ben Delo	CERT	PRP Certification Proof certified good
2020-09-20	pew	C-PRP	M273289/1665833646079/464919666893474967631/1584844718967719428957013050169 : 9F228D45E957DA19 PRP: Verified PRP without proof (small exponent)
2020-09-20	mnd9	C-PRP	M273289/1665833646079/464919666893474967631/1584844718967719428957013050169 : 9F228D45E957DA19 PRP proof power = 5 PRP: Verified Proof certified good
2020-09-20	MarkS	F-ECM	Factor: 1584844718967719428957013050169 / (ECM curve 1, B1=250000, B2=25000000, Sigma=7112013955071156)
2019-04-09	kkmrkkblmbrbk	C-PRP	M273289/1665833646079/464919666893474967631 : 476F48A4EB7BEC9D PRP: Verified PRP without proof (small exponent)
2017-11-02	kkmrkkblmbrbk	C-PRP	M273289/1665833646079/464919666893474967631 : 9F228D45E957DA19 PRP: Verified PRP without proof (small exponent)
2017-10-13	Oliver Kruse	C-PRP	M273289/1665833646079/464919666893474967631 : 476F48A4EB7BEC9D PRP: Verified PRP without proof (small exponent)
2017-10-13	Oliver Kruse	C-PRP	M273289/1665833646079/464919666893474967631 : 9F228D45E957DA19 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M273289/1665833646079/464919666893474967631 : 476F48A4EB7BEC9D PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M273289/1665833646079/464919666893474967631 : 476F48A4EB7BEC9D PRP without proof (not generated)
2014-08-22	TJAOI	F-ECM	Factor: 464919666893474967631