11 317 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
2444473	7	21.2	old
16568089	8	24.0	2008-08-26 19:58:34

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	2766 / 9201

Estimated T-Level: 41.5 ⓘ

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	501731084E7A3F48	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	501731084E7A3F48	2	5375	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	81EBC60AE635A3C4	2	10362	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	81EBC60AE635A3C4	2	8393	5	3

History

Date	User	Type	Result
2025-03-16	masser	NF-PP1	Start=155/47, B1=430000000, B2=43000000000
2025-03-04	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-24	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M11317/16568089/2444473 : 81EBC60AE635A3C4
2023-01-20	-anonymous-	NF-PM1	B1=100000000000, B2=122192573512709700
2020-04-17	Oliver Kruse	C-PRP	M11317/2444473/16568089 : 81EBC60AE635A3C4
2017-10-12	kkmrkkblmbrbk	C-PRP	M11317/2444473/16568089 : 501731084E7A3F48
2017-09-21	Oliver Kruse	C-PRP	M11317/2444473/16568089 : 501731084E7A3F48
2017-09-21	Oliver Kruse	C-PRP	M11317/2444473/16568089 : 501731084E7A3F48
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-26	-anonymous-	F	Factor: 16568089