13 103 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
20991007	8	24.3	old
338398079	9	28.3	2008-08-26 19:58:39
72484999783103	14	46.0	2008-08-26 19:58:39

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1581 / 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	2FD2C9C2A980B9A4	3	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	2FD2C9C2A980B9A4	3	10963	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	B509EED58A7F5258	3	7626	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	B509EED58A7F5258	3	3591	5	3

History

Date	User	Type	Result
2025-03-09	masser	NF-PP1	Start=134/59, B1=430000000, B2=429570000000
2025-02-01	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-31	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M13103/20991007/338398079/72484999783103 : B509EED58A7F5258
2023-10-10	-anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-17	JacobZ	NF-PM1	B1=8400000000, B2=34523926202766000
2022-02-05	Joss	NF-PM1	B1=1000000, B2=3910366209750
2020-04-17	Oliver Kruse	C-PRP	M13103/20991007/338398079/72484999783103 : B509EED58A7F5258
2017-10-12	kkmrkkblmbrbk	C-PRP	M13103/20991007/338398079/72484999783103 : 2FD2C9C2A980B9A4
2017-09-21	Oliver Kruse	C-PRP	M13103/20991007/338398079/72484999783103 : 2FD2C9C2A980B9A4
2017-09-21	Oliver Kruse	C-PRP	M13103/20991007/338398079/72484999783103 : 2FD2C9C2A980B9A4
2008-08-26	-anonymous-	F	Factor: 72484999783103
2008-08-26	-anonymous-	F	Factor: 338398079