13 187 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
1967289409	10	30.9	old
156217263701497	15	47.2	2008-08-29 02:24:32
10504869177886177017905897757236361678343	41	132.9	2025-08-01 21:46:40

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1589 / 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
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	40AF66BA298D9807	2	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	40AF66BA298D9807	2	7007	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	1F85835CA734F67B	2	6493	5	3
Factored	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	1F85835CA734F67B	2	7469	5	3
Verified	No proof (small exponent)	2025-08-08	Michel Yamagishi	1F85835CA734F67B	3	6191	5	3

History

Date	User	Type	Result
2025-08-08	Michel Yamagishi	C-PRP	M13187/1967289409/156217263701497/10504869177886177017905897757236361678343 : 1F85835CA734F67B
2025-08-01	Ryan Propper	F-ECM	Factor: 10504869177886177017905897757236361678343
2025-02-28	masser	NF-PP1	Start=98/31, B1=430000000, B2=429570000000
2025-02-01	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-30	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M13187/156217263701497/1967289409 : 1F85835CA734F67B
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	M13187/1967289409/156217263701497 : 1F85835CA734F67B
2017-10-12	kkmrkkblmbrbk	C-PRP	M13187/1967289409/156217263701497 : 40AF66BA298D9807
2017-09-21	Oliver Kruse	C-PRP	M13187/1967289409/156217263701497 : 40AF66BA298D9807
2017-09-21	Oliver Kruse	C-PRP	M13187/1967289409/156217263701497 : 40AF66BA298D9807
2008-08-29	-anonymous-	F	Factor: 156217263701497