11 243 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

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

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	4322 / 9201

Estimated T-Level: 42.3 ⓘ

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 (Factored)	2017-09-21	Oliver Kruse	44742BE8762541CC	3	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	44742BE8762541CC	3	0	1	3
Verified (Factored)	2017-12-07	ATH	44742BE8762541CC	3	1511	1	3
Verified	2019-01-07	M8909387	07A6AF49B1F4D947	4	7157	5	3
Verified	2019-01-09	Luigi Morelli	07A6AF49B1F4D947	4	5462	5	3

P-1 factors

Date	Factor	B1	B2
2022-12-30	318079960802695222097	100000000000	122192573512709696

History

Date	User	Type	Result
2022-12-30	-Anonymous-	F-PM1	Factor: 318079960802695222097 / (P-1, B1=100000000000, B2=122192573512709700)
2019-01-09	Luigi Morelli	C-PRP	M11243/1281703/3434287589497/318079960802695222097/63054569622831143982011641782811222958959 : 07A6AF49B1F4D947 PRP: Verified PRP without proof (small exponent)
2019-01-07	M8909387	C-PRP	M11243/1281703/3434287589497/318079960802695222097/63054569622831143982011641782811222958959 : 07A6AF49B1F4D947 PRP: Verified PRP without proof (small exponent)
2019-01-06	James Hintz	F-ECM	Factor: 63054569622831143982011641782811222958959 / (ECM curve 1903, B1=3000000, B2=300000000)
2017-12-07	ATH	C-PRP	M11243/1281703/3434287589497/318079960802695222097 : 44742BE8762541CC PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M11243/1281703/3434287589497/318079960802695222097 : 44742BE8762541CC PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M11243/1281703/3434287589497/318079960802695222097 : 44742BE8762541CC PRP without proof (not generated)
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