31 039 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
217444023958831	15	47.6	old
41418462577279318406682236918087	32	105.0	2017-05-11 17:20:38

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	1502 / 4588

Estimated T-Level: 36.6 ⓘ

TF below 2^117 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	FC5523194B0A6DD4	2	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	FC5523194B0A6DD4	2	0	1	3
Verified	2017-12-07	ATH	FC5523194B0A6DD4	2	21761	1	3
Unverified	2020-04-17	Oliver Kruse	27DB628927B75F__	2	26876	5	3

History

Date	User	Type	Result
2022-10-21	nordi	NF-PM1	B1=3000000000, B2=920287779501090
2022-10-08	nordi	NF-PM1	B1=3000000000
2020-04-17	Oliver Kruse	C-PRP	M31039/217444023958831/41418462577279318406682236918087 : 27DB628927B75F__ PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M31039/217444023958831/41418462577279318406682236918087 : FC5523194B0A6DD4 PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M31039/217444023958831/41418462577279318406682236918087 : FC5523194B0A6DD4 PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M31039/known_factors : FC5523194B0A6DD4 PRP without proof (not generated)
2017-05-11	nordi	F-ECM	Factor: 41418462577279318406682236918087 / (ECM curve 379, B1=1000000, B2=100000000)
2016-10-08	kkmrkkblmbrbk	NF-PM1	B1=200000000, B2=5000000000, E=12