11 131 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
25403877852727335343	20	64.5	old
79504351032096295231	20	66.1	2008-08-29 02:24:27
344963322184870374109698881	27	88.2	2008-10-16 23:57:25

P-1 factors

Date	Factors	B1	B2
2022-12-29	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	9201 / 9201
50	44000000	2418 / 16550

Estimated T-Level: 45.7 ⓘ

TF below 2^147 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	F1D07D68CCB5FDDF	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	F1D07D68CCB5FDDF	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	F1D07D68CCB5FDDF	3	1583	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	C721DC29C2B54F2E	3	4688	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	C721DC29C2B54F2E	3	3584	5	3

History

Date	User	Type	Result
2025-02-21	masser	NF-PP1	Start=107/19, B1=640000000, B2=639360000000
2025-02-13	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-25	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M11131/25403877852727335343/344963322184870374109698881/79504351032096295231 : C721DC29C2B54F2E
2022-12-29	-anonymous-	F-PM1	Factors: 25403877852727335343,79504351032096295231 / B1=100000000000, B2=122192573512709700
2020-04-17	Oliver Kruse	C-PRP	M11131/25403877852727335343/79504351032096295231/344963322184870374109698881 : C721DC29C2B54F2E
2017-12-07	ATH	C-PRP	M11131/25403877852727335343/79504351032096295231/344963322184870374109698881 : F1D07D68CCB5FDDF
2017-10-02	kkmrkkblmbrbk	C-PRP	M11131/25403877852727335343/79504351032096295231/344963322184870374109698881 : F1D07D68CCB5FDDF
2017-09-21	Oliver Kruse	C-PRP	M11131/known_factors : F1D07D68CCB5FDDF
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-10-16	-anonymous-	F-ECM	Factor: 344963322184870374109698881
2008-08-29	-anonymous-	F-ECM	Factor: 79504351032096295231