11 243 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
1281703	7	20.3	old
3434287589497	13	41.6	2008-08-26 19:58:34
318079960802695222097	21	68.1	2008-08-29 02:24:27
63054569622831143982011641782811222958959	41	135.5	2019-01-06 10:56:02

P-1 factors

Date	Factors	B1	B2
2022-12-30	No new factors discovered	100000000000	122192573512709696

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	5318 / 9201

Estimated T-Level: 42.9 ⓘ

TF below 2^137 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	44742BE8762541CC	3	0	1	3
Factored	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	44742BE8762541CC	3	0	1	3
Factored	No proof (small exponent)	2017-12-07	ATH	44742BE8762541CC	3	1511	1	3
Verified	No proof (small exponent)	2019-01-07	M8909387	07A6AF49B1F4D947	4	7157	5	3
Verified	No proof (small exponent)	2019-01-09	Luigi Morelli	07A6AF49B1F4D947	4	5462	5	3

History

Date	User	Type	Result
2025-02-21	masser	NF-PP1	Start=179/13, B1=640000000, B2=639360000000
2025-02-12	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-25	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2022-12-30	-anonymous-	F-PM1	Factor: 318079960802695222097 / B1=100000000000, B2=122192573512709700
2019-01-09	Luigi Morelli	C-PRP	M11243/1281703/3434287589497/318079960802695222097/63054569622831143982011641782811222958959 : 07A6AF49B1F4D947
2019-01-07	M8909387	C-PRP	M11243/1281703/3434287589497/318079960802695222097/63054569622831143982011641782811222958959 : 07A6AF49B1F4D947
2019-01-06	James Hintz	F-ECM	Factor: 63054569622831143982011641782811222958959
2017-12-07	ATH	C-PRP	M11243/1281703/3434287589497/318079960802695222097 : 44742BE8762541CC
2017-10-02	kkmrkkblmbrbk	C-PRP	M11243/1281703/3434287589497/318079960802695222097 : 44742BE8762541CC
2017-09-21	Oliver Kruse	C-PRP	M11243/1281703/3434287589497/318079960802695222097 : 44742BE8762541CC
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-29	-anonymous-	F-ECM	Factor: 318079960802695222097
2008-08-26	-anonymous-	F	Factor: 3434287589497