10 459 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
11632186031	11	33.4	old
592462434978188507409311	24	79.0	2008-08-29 02:24:25
2779741216780926769956662232601	31	101.1	2010-01-31 09:56:03

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	3309 / 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	8E6953DA01AF6536	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	8E6953DA01AF6536	3	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	8E6953DA01AF6536	3	565	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	BA30829692883A4D	3	9347	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	BA30829692883A4D	3	996	5	3

History

Date	User	Type	Result
2025-02-26	masser	NF-PP1	Start=113/11, B1=640000000, B2=639360000000
2025-02-17	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-29	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M10459/11632186031/2779741216780926769956662232601/592462434978188507409311 : BA30829692883A4D
2022-11-09	-anonymous-	NF-PM1	B1=100000000000, B2=120443211520241610
2021-08-02	ViliamF	NF-PM1	B1=250000000, B2=40250000000
2020-04-17	Oliver Kruse	C-PRP	M10459/11632186031/592462434978188507409311/2779741216780926769956662232601 : BA30829692883A4D
2017-10-12	kkmrkkblmbrbk	C-PRP	M10459/11632186031/592462434978188507409311/2779741216780926769956662232601 : 8E6953DA01AF6536
2017-10-02	kkmrkkblmbrbk	C-PRP	M10459/11632186031/592462434978188507409311/2779741216780926769956662232601 : 8E6953DA01AF6536
2017-09-21	Oliver Kruse	C-PRP	M10459/11632186031/592462434978188507409311/2779741216780926769956662232601 : 8E6953DA01AF6536
2017-09-21	Oliver Kruse	C-PRP	M10459/11632186031/592462434978188507409311/2779741216780926769956662232601 : 8E6953DA01AF6536
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2010-03-17	-anonymous-	F-PM1	Factor: 2779741216780926769956662232601
2010-01-31	Matthias Wurtinger	F-ECM	Factor: 2779741216780926769956662232601
2008-08-29	-anonymous-	F-ECM	Factor: 592462434978188507409311