10 979 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
87833	5	16.4	old
270610393	9	28.0	2008-08-26 19:58:33
10949104885657	14	43.3	2008-08-26 19:58:33
422809427217599	15	48.6	2008-08-26 19:58:33
231019006298039869356596564161	30	97.5	2008-10-16 23:57:25

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	4464 / 9201

Estimated T-Level: 42.4 ⓘ

TF below 2^136 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	4C98AB8E88E6D643	5	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	4C98AB8E88E6D643	5	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	4C98AB8E88E6D643	5	840	1	3
Verified	2020-04-17	Oliver Kruse	5C4EB6E7584A1102	5	2119	5	3
Verified	2024-07-01	kkmrkkblmbrbk	5C4EB6E7584A1102	5	7176	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M10979/10949104885657/231019006298039869356596564161/270610393/422809427217599/87833 : 5C4EB6E7584A1102 PRP: Verified PRP without proof (small exponent)
2022-12-29	-Anonymous-	NF-PM1	B1=100000000000, B2=122192573512709700
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2020-04-17	Oliver Kruse	C-PRP	M10979/87833/270610393/10949104885657/422809427217599/231019006298039869356596564161 : 5C4EB6E7584A1102 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M10979/87833/270610393/10949104885657/422809427217599/231019006298039869356596564161 : 4C98AB8E88E6D643 PRP: Verified PRP without proof (not generated)
2017-10-02	kkmrkkblmbrbk	C-PRP	M10979/87833/270610393/10949104885657/422809427217599/231019006298039869356596564161 : 4C98AB8E88E6D643 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M10979/87833/270610393/10949104885657/422809427217599/231019006298039869356596564161 : 4C98AB8E88E6D643 PRP without proof (not generated)
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-10-16	-Anonymous-	F-ECM	Factor: 231019006298039869356596564161
2008-08-26	-Anonymous-	F-PM1	Factor: 422809427217599
2008-08-26	-Anonymous-	F	Factor: 10949104885657
2008-08-26	-Anonymous-	F	Factor: 270610393