31 547 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
5362991	7	22.4	old
333388697	9	28.3	2008-08-26 19:59:26
14183236318667861341008755187353	32	103.5	2017-07-22 10:09:08

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	1344 / 4588

Estimated T-Level: 36.5 ⓘ

TF below 2^116 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	E5821A8D6A6CC0B7	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	E5821A8D6A6CC0B7	3	0	1	3
Verified	2017-12-07	ATH	E5821A8D6A6CC0B7	3	3866	1	3
Unverified	2020-04-17	Oliver Kruse	15A86878853284__	3	23957	5	3

History

Date	User	Type	Result
2022-11-08	nordi	NF-PM1	B1=3000000000, B2=912626498753970
2022-09-23	nordi	NF-PM1	B1=3000000000
2020-04-17	Oliver Kruse	C-PRP	M31547/5362991/333388697/14183236318667861341008755187353 : 15A86878853284__ PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M31547/5362991/333388697/14183236318667861341008755187353 : E5821A8D6A6CC0B7 PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M31547/5362991/333388697/14183236318667861341008755187353 : E5821A8D6A6CC0B7 PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M31547/5362991/333388697/14183236318667861341008755187353 : E5821A8D6A6CC0B7 PRP without proof (not generated)
2017-07-22	nordi	F-ECM	Factor: 14183236318667861341008755187353 / (ECM curve 858, B1=1000000, B2=100000000)
2016-10-08	kkmrkkblmbrbk	NF-PM1	B1=200000000, B2=5000000000, E=12
2008-08-26	-Anonymous-	F	Factor: 333388697