10 607 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
275783	6	18.1	old
195867249737	12	37.5	2008-08-26 19:58:32
4358627661135862286639257061977	31	101.8	2009-06-20 16:20:29
83064205376202936050322554271653111	35	116.0	2019-03-25 11:42:22

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	3291 / 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
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	2C619BC0F9F9F7C4	3	0	1	3
Factored	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	2C619BC0F9F9F7C4	3	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	2C619BC0F9F9F7C4	3	4837	1	3
Verified	No proof (small exponent)	2019-03-25	alex	C5D7B859383DC4A3	4	3151	5	3
Verified	No proof (small exponent)	2019-03-26	trebor	C5D7B859383DC4A3	4	9281	5	3

History

Date	User	Type	Result
2025-02-25	masser	NF-PP1	Start=156/43, 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
2022-11-09	-anonymous-	NF-PM1	B1=100000000000, B2=120443211520241610
2021-03-05	ViliamF	NF-PM1	B1=1000000000, B2=231000000000
2019-03-26	trebor	C-PRP	M10607/275783/195867249737/4358627661135862286639257061977/83064205376202936050322554271653111 : C5D7B859383DC4A3
2019-03-25	alex	C-PRP	M10607/275783/195867249737/4358627661135862286639257061977/83064205376202936050322554271653111 : C5D7B859383DC4A3
2019-03-25	alex	F-ECM	Factor: 83064205376202936050322554271653111 / ECM curve 1224, B1=3000000, B2=300000000, Montgomery Sigma=7717204258985552
2017-10-12	kkmrkkblmbrbk	C-PRP	M10607/275783/195867249737/4358627661135862286639257061977 : 2C619BC0F9F9F7C4
2017-10-02	kkmrkkblmbrbk	C-PRP	M10607/275783/195867249737/4358627661135862286639257061977 : 2C619BC0F9F9F7C4
2017-09-21	Oliver Kruse	C-PRP	M10607/known_factors : 2C619BC0F9F9F7C4
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2009-06-20	Rob_Dee	F-ECM	Factor: 4358627661135862286639257061977
2009-03-02	Carsten Kossendey	F	Factor: 54016857734219071
2008-08-26	-anonymous-	F	Factor: 195867249737