49 331 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
98663	5	16.6	old
2019573902621678034301245049	28	90.7	2016-12-11 07:53:26

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	601 / 4588

Estimated T-Level: 35.7 ⓘ

TF below 2^113 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	BF25C1FCBC5BDE36	2	0	1	3
Verified	2017-10-13	kkmrkkblmbrbk	BF25C1FCBC5BDE36	2	45657	1	3
Verified	2020-04-17	Oliver Kruse	3E94EEDD83F58934	2	8425	5	3
Verified	2021-03-22	_p95holder_	3E94EEDD83F58934	2	2960	5	3
Verified (Factored)	2022-05-12	Jorge Coveiro	3E94EEDD83F58934	1	4987	5	3

History

Date	User	Type	Result
2023-05-08	JacobZ	NF-PM1	B1=720000000, B2=524479608402750
2022-05-12	Jorge Coveiro	C-PRP	M49331/98663 : 3E94EEDD83F58934 PRP: Verified (Factored) PRP without proof (small exponent)
2021-03-22	_p95holder_	C-PRP	M49331/98663/2019573902621678034301245049 : 3E94EEDD83F58934 PRP: Verified (Factored) PRP without proof (small exponent)
2021-03-22	Conductor	F-ECM	Factor: 98663 / (ECM curve 1, B1=1000000, B2=100000000, Sigma=5660262274096807)
2020-04-17	Oliver Kruse	C-PRP	M49331/98663/2019573902621678034301245049 : 3E94EEDD83F58934 PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-13	kkmrkkblmbrbk	C-PRP	M49331/98663/2019573902621678034301245049 : BF25C1FCBC5BDE36 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M49331/98663/2019573902621678034301245049 : BF25C1FCBC5BDE36 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M49331/98663/2019573902621678034301245049 : BF25C1FCBC5BDE36 PRP without proof (not generated)
2016-12-11	kkmrkkblmbrbk	F-ECM	Factor: 2019573902621678034301245049 / (ECM curve 165, B1=250000, B2=25000000)
2016-10-02	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12