541 951 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
31433159	8	24.9	old
22706231987747008563761	23	74.3	2018-07-27 12:39:29

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	210 / 640

Estimated T-Level: 26.6 ⓘ

TF below 2^83 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-27	Oliver Kruse	004740039D38C36A	1	0	1	3
Verified (Factored)	2017-09-28	Oliver Kruse	004740039D38C36A	1	0	1	3
Verified (Factored)	2017-11-07	kkmrkkblmbrbk	004740039D38C36A	1	282926	1	3
Verified	2018-07-28	ANONYMOUS	6A627A21C8E4BE47	2	439261	5	3
Verified	2018-07-30	_p95holder_	6A627A21C8E4BE47	2	345208	5	3

History

Date	User	Type	Result
2021-08-23	ViliamF	NF-PM1	B1=15000000, B2=1740000000
2018-07-30	_p95holder_	C-PRP	M541951/31433159/22706231987747008563761 : 6A627A21C8E4BE47 PRP: Verified PRP without proof (small exponent)
2018-07-28	ANONYMOUS	C-PRP	M541951/31433159/22706231987747008563761 : 6A627A21C8E4BE47 PRP: Verified PRP without proof (small exponent)
2018-07-27	TJAOI	F-ECM	Factor: 22706231987747008563761 / (ECM curve 42, B1=250000, B2=25000000)
2017-11-07	kkmrkkblmbrbk	C-PRP	M541951/31433159 : 004740039D38C36A PRP: Verified PRP without proof (small exponent)
2017-09-28	Oliver Kruse	C-PRP	M541951/31433159 : 004740039D38C36A PRP: Verified PRP without proof (not generated)
2017-09-27	Oliver Kruse	C-PRP	M541951/31433159 : 004740039D38C36A PRP: Verified PRP without proof (not generated)
2016-03-16	alpertron	NF-PM1	B1=1500000, B2=50000000, E=12