10 331 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 5 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
20663	5	14.3	old
268607	6	18.0	2008-08-26 19:58:31
4049753	7	21.9	2008-08-26 19:58:31
97752764881359148153	20	66.4	2008-08-29 02:24:25
437845093053330662637637679407121	33	108.4	2009-03-05 15:09:10

P-1 factors

Date	Factors	B1	B2
2022-04-02	No new factors discovered	100000000000	121968084023145360

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	3287 / 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	BD0A62C83F03EB94	5	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	BD0A62C83F03EB94	5	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	BD0A62C83F03EB94	5	6181	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	9C9EA4892276FD48	5	7536	5	3
Factored	No proof (small exponent)	2022-05-12	Jorge Coveiro	9C9EA4892276FD48	1	5153	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	9C9EA4892276FD48	5	911	5	3

History

Date	User	Type	Result
2025-02-27	masser	NF-PP1	Start=140/59, B1=640000000, B2=639360000000
2025-02-19	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-30	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M10331/20663/268607/4049753/437845093053330662637637679407121/97752764881359148153 : 9C9EA4892276FD48
2022-05-12	Jorge Coveiro	C-PRP	M10331/20663 : 9C9EA4892276FD48
2022-04-02	-anonymous-	F-PM1	Factor: 437845093053330662637637679407121 / B1=100000000000, B2=121968084023145360
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2021-08-01	ViliamF	NF-PM1	B1=250000000, B2=40250000000
2020-04-17	Oliver Kruse	C-PRP	M10331/20663/268607/4049753/97752764881359148153/437845093053330662637637679407121 : 9C9EA4892276FD48
2017-10-12	kkmrkkblmbrbk	C-PRP	M10331/20663/268607/4049753/97752764881359148153/437845093053330662637637679407121 : BD0A62C83F03EB94
2017-10-02	kkmrkkblmbrbk	C-PRP	M10331/20663/268607/4049753/97752764881359148153/437845093053330662637637679407121 : BD0A62C83F03EB94
2017-09-21	Oliver Kruse	C-PRP	M10331/20663/268607/4049753/97752764881359148153/437845093053330662637637679407121 : BD0A62C83F03EB94
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2009-03-05	-anonymous-	F-ECM	Factor: 437845093053330662637637679407121
2008-08-29	-anonymous-	F-ECM	Factor: 97752764881359148153
2008-08-26	-anonymous-	F	Factor: 4049753
2008-08-26	-anonymous-	F	Factor: 268607