13 931 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
19085471	8	24.2	old
14609740161302963605567	23	73.6	2008-08-29 02:24:33

P-1 factors

Date	Factors	B1	B2
2024-01-29	No new factors discovered	100000000000	122154521813133808

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	2909 / 9201

Estimated T-Level: 41.6 ⓘ

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	D02F97679621B5D3	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	D02F97679621B5D3	2	4940	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	1BF6B94328498FFE	2	8724	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	1BF6B94328498FFE	2	1561	5	3

History

Date	User	Type	Result
2025-02-19	masser	NF-PP1	Start=166/17, B1=430000000, B2=429570000000
2025-02-10	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-22	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M13931/14609740161302963605567/19085471 : 1BF6B94328498FFE
2024-01-29	-anonymous-	F-PM1	Factor: 14609740161302963605567 / B1=100000000000, B2=122154521813133810
2023-05-22	JacobZ	NF-PM1	B1=7900000000, B2=32522539163164050
2023-02-11	USAFSS	NF-PM1	B1=30000000, B2=2010341563230
2022-02-06	ANONYMOUS	NF-PM1	B1=50000
2020-04-17	Oliver Kruse	C-PRP	M13931/19085471/14609740161302963605567 : 1BF6B94328498FFE
2017-10-12	kkmrkkblmbrbk	C-PRP	M13931/19085471/14609740161302963605567 : D02F97679621B5D3
2017-09-21	Oliver Kruse	C-PRP	M13931/19085471/14609740161302963605567 : D02F97679621B5D3
2017-09-21	Oliver Kruse	C-PRP	M13931/19085471/14609740161302963605567 : D02F97679621B5D3
2008-08-29	-anonymous-	F-ECM	Factor: 14609740161302963605567