541 991 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
1083983	7	20.0	old
14906267780457790567	20	63.7	2014-10-30 11:38:55
10371154230822535044667420657	29	93.1	2016-04-15 10:23:39
21251566213970111736471217553	29	94.1	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	DF05AE4C42DF356E	1	0	1	3
Verified (Factored)	2017-10-18	Oliver Kruse	0223CB5F2954A04B	3	344935	5	3
Verified (Factored)	2017-10-19	kkmrkkblmbrbk	0223CB5F2954A04B	3	491972	5	3
Verified	2018-07-28	ANONYMOUS	0223CB5F2954A04B	4	269717	5	3
Verified	2018-07-31	_p95holder_	0223CB5F2954A04B	4	324145	5	3

P-1 factors

Date	Factor	B1	B2
2014-10-30	14906267780457790567	1500000	50000000

History

Date	User	Type	Result
2021-08-23	ViliamF	NF-PM1	B1=15000000, B2=1500000000
2018-07-31	_p95holder_	C-PRP	M541991/1083983/14906267780457790567/10371154230822535044667420657/21251566213970111736471217553 : 0223CB5F2954A04B PRP: Verified PRP without proof (small exponent)
2018-07-28	ANONYMOUS	C-PRP	M541991/1083983/14906267780457790567/10371154230822535044667420657/21251566213970111736471217553 : 0223CB5F2954A04B PRP: Verified PRP without proof (small exponent)
2018-07-27	TJAOI	F-ECM	Factor: 21251566213970111736471217553 / (ECM curve 36, B1=250000, B2=25000000)
2017-10-19	kkmrkkblmbrbk	C-PRP	M541991/1083983/14906267780457790567/10371154230822535044667420657 : 0223CB5F2954A04B PRP: Verified PRP without proof (small exponent)
2017-10-18	Oliver Kruse	C-PRP	M541991/1083983/14906267780457790567/10371154230822535044667420657 : 0223CB5F2954A04B PRP: Verified PRP without proof (small exponent)
2017-09-27	Oliver Kruse	C-PRP	M541991/1083983/14906267780457790567/10371154230822535044667420657 : DF05AE4C42DF356E PRP: Verified PRP without proof (not generated)
2016-04-15	TJAOI	F-ECM	Factor: 10371154230822535044667420657 / (ECM curve 16, B1=50000, B2=5000000)
2014-10-30	alpertron	F-PM1	Factor: 14906267780457790567 / (P-1, B1=1500000, B2=50000000, E=12)