11 279 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 2 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
2198029886879	13	41.0	old
6075429861017866351	19	62.4	2008-08-29 02:24:27

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	2871 / 9201

Estimated T-Level: 41.6 ⓘ

TF below 2^133 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	63266DCFEA30CF6A	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	63266DCFEA30CF6A	2	7267	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	266906CA1834D2D3	2	10905	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	266906CA1834D2D3	2	530	5	3

History

Date	User	Type	Result
2025-02-20	masser	NF-PP1	Start=133/47, B1=640000000, B2=639360000000
2025-02-13	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-24	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M11279/2198029886879/6075429861017866351 : 266906CA1834D2D3
2023-01-20	-anonymous-	NF-PM1	B1=100000000000, B2=122192573512709700
2020-04-17	Oliver Kruse	C-PRP	M11279/2198029886879/6075429861017866351 : 266906CA1834D2D3
2017-10-12	kkmrkkblmbrbk	C-PRP	M11279/2198029886879/6075429861017866351 : 63266DCFEA30CF6A
2017-09-21	Oliver Kruse	C-PRP	M11279/2198029886879/6075429861017866351 : 63266DCFEA30CF6A
2017-09-21	Oliver Kruse	C-PRP	M11279/2198029886879/6075429861017866351 : 63266DCFEA30CF6A
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-29	-anonymous-	F-ECM	Factor: 6075429861017866351