31 151 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
62303	5	15.9	old
1308343	7	20.3	2008-08-26 19:59:25
45667367	8	25.4	2008-08-26 19:59:25
1060322784463	13	39.9	2008-08-26 19:59:25
158183593260403411492113979070765956490038975001	48	156.8	2022-10-21 12:53:38

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	1505 / 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 (Factored)	2017-09-21	Oliver Kruse	8DEC35D8A13845B9	4	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	8DEC35D8A13845B9	4	18319	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	C036968FC41641EC	4	29654	5	3
Verified (Factored)	2022-05-12	Jorge Coveiro	C036968FC41641EC	1	17574	5	3
Verified	2022-10-21	Kevin_9611	C036968FC41641EC	5	15687	5	3

P-1 factors

Date	Factor	B1	B2
2022-10-21	158183593260403411492113979070765956490038975001	3000000000	920287779501090

History

Date	User	Type	Result
2022-10-21	Kevin_9611	C-PRP	M31151/62303/1308343/45667367/1060322784463/158183593260403411492113979070765956490038975001 : C036968FC41641EC PRP: Verified PRP without proof (small exponent)
2022-10-21	nordi	F-PM1	Factor: 158183593260403411492113979070765956490038975001 / (P-1, B1=3000000000, B2=920287779501090)
2022-09-25	nordi	NF-PM1	B1=3000000000
2022-05-12	Jorge Coveiro	C-PRP	M31151/62303 : C036968FC41641EC PRP: Verified PRP without proof (small exponent)
2020-04-17	Oliver Kruse	C-PRP	M31151/62303/1308343/45667367/1060322784463 : C036968FC41641EC PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M31151/62303/1308343/45667367/1060322784463 : 8DEC35D8A13845B9 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M31151/62303/1308343/45667367/1060322784463 : 8DEC35D8A13845B9 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M31151/62303/1308343/45667367/1060322784463 : 8DEC35D8A13845B9 PRP without proof (not generated)
2016-10-08	kkmrkkblmbrbk	NF-PM1	B1=200000000, B2=5000000000, E=12
2008-08-26	-Anonymous-	F	Factor: 1060322784463
2008-08-26	-Anonymous-	F	Factor: 45667367
2008-08-26	-Anonymous-	F	Factor: 1308343