13 339 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
133391	6	17.0	old
126362197412071613933687633	27	86.7	2008-08-29 02:24:32

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1577 / 9201

Estimated T-Level: 40.9 ⓘ

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	CBD2544A0197ECEA	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	CBD2544A0197ECEA	2	7838	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	D8D572B74DC231E2	2	1848	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	D8D572B74DC231E2	2	4131	5	3

History

Date	User	Type	Result
2025-02-26	masser	NF-PP1	Start=108/53, B1=430000000, B2=429570000000
2025-02-01	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-29	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M13339/126362197412071613933687633/133391 : D8D572B74DC231E2
2023-12-19	-anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-18	JacobZ	NF-PM1	B1=8200000000, B2=35024272926292650
2022-02-05	Joss	NF-PM1	B1=1000000, B2=3910366209750
2020-04-17	Oliver Kruse	C-PRP	M13339/133391/126362197412071613933687633 : D8D572B74DC231E2
2017-10-12	kkmrkkblmbrbk	C-PRP	M13339/133391/126362197412071613933687633 : CBD2544A0197ECEA
2017-09-21	Oliver Kruse	C-PRP	M13339/133391/126362197412071613933687633 : CBD2544A0197ECEA
2017-09-21	Oliver Kruse	C-PRP	M13339/133391/126362197412071613933687633 : CBD2544A0197ECEA
2008-08-29	-anonymous-	F-ECM	Factor: 126362197412071613933687633