10 631 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Details

Composite, with 3 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

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

P-1 factors

Date	Factors	B1	B2
2022-11-09	No new factors discovered	100000000000	120443211520241616

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	3296 / 16550

Estimated T-Level: 46.0 ⓘ

TF below 2^148 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	50DE88BBE824C3C5	3	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	50DE88BBE824C3C5	3	5869	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	21B0DA83B7E9EF76	3	10053	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	21B0DA83B7E9EF76	3	6052	5	3

History

Date	User	Type	Result
2025-02-24	masser	NF-PP1	Start=171/37, B1=640000000, B2=639360000000
2025-02-17	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-28	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M10631/31946920433/531551/9110951347984937441 : 21B0DA83B7E9EF76
2022-11-09	Anton Repko	F-PM1	Factor: 9110951347984937441 / 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 : 21B0DA83B7E9EF76
2017-10-12	kkmrkkblmbrbk	C-PRP	M10631/531551/31946920433/9110951347984937441 : 50DE88BBE824C3C5
2017-09-21	Oliver Kruse	C-PRP	M10631/531551/31946920433/9110951347984937441 : 50DE88BBE824C3C5
2017-09-21	Oliver Kruse	C-PRP	M10631/531551/31946920433/9110951347984937441 : 50DE88BBE824C3C5
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