10 631 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
531551	6	19.0	old
31946920433	11	34.9	2008-08-26 19:58:32
9110951347984937441	19	63.0	2008-08-29 02:24:26

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1320 / 9201

Estimated T-Level: 40.7 ⓘ

TF below 2^130 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	50DE88BBE824C3C5	3	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	50DE88BBE824C3C5	3	5869	1	3
Unverified	2020-04-17	Oliver Kruse	21B0DA83B7E9EF__	3	10053	5	3

P-1 factors

Date	Factor	B1	B2
2022-11-09	9110951347984937441	100000000000	120443211520241616

History

Date	User	Type	Result
2022-11-09	Anton Repko	F-PM1	Factor: 9110951347984937441 / (P-1, B1=100000000000, B2=120443211520241610)
2021-08-02	ViliamF	NF-PM1	B1=250000000, B2=40250000000
2020-04-17	Oliver Kruse	C-PRP	M10631/531551/31946920433/9110951347984937441 : 21B0DA83B7E9EF__ PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M10631/531551/31946920433/9110951347984937441 : 50DE88BBE824C3C5 PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M10631/531551/31946920433/9110951347984937441 : 50DE88BBE824C3C5 PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M10631/531551/31946920433/9110951347984937441 : 50DE88BBE824C3C5 PRP without proof (not generated)
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-29	-Anonymous-	F-ECM	Factor: 9110951347984937441
2008-08-26	-Anonymous-	F	Factor: 31946920433