13 931 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
19085471	8	24.2	old
14609740161302963605567	23	73.6	2008-08-29 02:24:33

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	2713 / 9201

Estimated T-Level: 41.5 ⓘ

TF below 2^133 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	D02F97679621B5D3	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	D02F97679621B5D3	2	4940	1	3
Verified	2020-04-17	Oliver Kruse	1BF6B94328498FFE	2	8724	5	3
Verified	2024-07-01	kkmrkkblmbrbk	1BF6B94328498FFE	2	1561	5	3

P-1 factors

Date	Factor	B1	B2
2024-01-29	14609740161302963605567	100000000000	122154521813133808

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M13931/14609740161302963605567/19085471 : 1BF6B94328498FFE PRP: Verified PRP without proof (small exponent)
2024-01-29	-Anonymous-	F-PM1	Factor: 14609740161302963605567 / (P-1, 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	Lisander Viaene	NF-PM1	B1=50000
2020-04-17	Oliver Kruse	C-PRP	M13931/19085471/14609740161302963605567 : 1BF6B94328498FFE PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M13931/19085471/14609740161302963605567 : D02F97679621B5D3 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M13931/19085471/14609740161302963605567 : D02F97679621B5D3 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M13931/19085471/14609740161302963605567 : D02F97679621B5D3 PRP without proof (not generated)
2008-08-29	-Anonymous-	F-ECM	Factor: 14609740161302963605567