11 731 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
33949138609	11	35.0	old
288436666361	12	38.1	2008-08-26 19:58:35

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1939 / 9201

Estimated T-Level: 41.1 ⓘ

TF below 2^131 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	0BAAEFB85DBE5250	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	0BAAEFB85DBE5250	2	9621	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	4B92A0F41C989791	2	4029	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	4B92A0F41C989791	2	7136	5	3

History

Date	User	Type	Result
2025-03-12	masser	NF-PP1	Start=120/17, B1=430000000, B2=429570000000
2025-03-02	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-22	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M11731/288436666361/33949138609 : 4B92A0F41C989791
2023-01-20	-anonymous-	NF-PM1	B1=100000000000, B2=122192573512709700
2020-04-17	Oliver Kruse	C-PRP	M11731/33949138609/288436666361 : 4B92A0F41C989791
2017-10-12	kkmrkkblmbrbk	C-PRP	M11731/33949138609/288436666361 : 0BAAEFB85DBE5250
2017-09-21	Oliver Kruse	C-PRP	M11731/33949138609/288436666361 : 0BAAEFB85DBE5250
2017-09-21	Oliver Kruse	C-PRP	M11731/33949138609/288436666361 : 0BAAEFB85DBE5250
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2011-02-05	Oscar Östlin	F	Factor: 9792176366207476631849
2008-08-26	-anonymous-	F	Factor: 288436666361