11 831 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 4 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
23663	5	14.5	old
24583043351	11	34.5	2008-08-26 19:58:35
4713104946666256463	19	62.0	2008-08-26 19:58:35
249746762341024723865342289495119	33	107.6	2009-09-13 09:34:34

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1894 / 9201

Estimated T-Level: 41.0 ⓘ

TF below 2^131 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	1E302F45520962D9	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	1E302F45520962D9	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	1E302F45520962D9	4	9899	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	5A75BE3AFBA310BA	4	6521	5	3
Factored	No proof (small exponent)	2022-05-12	Jorge Coveiro	5A75BE3AFBA310BA	1	6020	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	5A75BE3AFBA310BA	4	11480	5	3

History

Date	User	Type	Result
2025-03-11	masser	NF-PP1	Start=113/37, B1=430000000, B2=429570000000
2025-03-01	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-22	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M11831/23663/24583043351/249746762341024723865342289495119/4713104946666256463 : 5A75BE3AFBA310BA
2023-03-26	-anonymous-	NF-PM1	B1=100000000000, B2=122192573512709700
2022-05-12	Jorge Coveiro	C-PRP	M11831/23663 : 5A75BE3AFBA310BA
2020-04-17	Oliver Kruse	C-PRP	M11831/23663/24583043351/4713104946666256463/249746762341024723865342289495119 : 5A75BE3AFBA310BA
2017-12-07	ATH	C-PRP	M11831/23663/24583043351/4713104946666256463/249746762341024723865342289495119 : 1E302F45520962D9
2017-10-02	kkmrkkblmbrbk	C-PRP	M11831/23663/24583043351/4713104946666256463/249746762341024723865342289495119 : 1E302F45520962D9
2017-09-21	Oliver Kruse	C-PRP	M11831/23663/24583043351/4713104946666256463/249746762341024723865342289495119 : 1E302F45520962D9
2017-09-21	Oliver Kruse	C-PRP	M11831/23663/24583043351/4713104946666256463/249746762341024723865342289495119 : 1E302F45520962D9
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2011-02-05	Oscar Östlin	F	Factor: 581708554814713
2011-02-05	Oscar Östlin	F-PM1	Factor: 2741653467215303038098190303740119
2011-02-05	Oscar Östlin	F-PM1	Factor: 111526202352963626683969
2009-09-13	Rob_Dee	F-ECM	Factor: 249746762341024723865342289495119
2008-08-26	-anonymous-	F-ECM	Factor: 4713104946666256463
2008-08-26	-anonymous-	F	Factor: 24583043351