13 967 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
3497798117359203443260143530134347389850527745239	49	161.3	2015-03-14 05:24:51

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	4576 / 9201

Estimated T-Level: 42.5 ⓘ

TF below 2^136 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Unknown	55C5	0
Verified (Factored)		George Woltman	CF6B7C131D05D5C5	0
Verified (Factored)		Brian J. Beesley	CF6B7C131D05D5C5	0

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	EC0E3DCD6A4D7F0A	1	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	EC0E3DCD6A4D7F0A	1	0	1	3
Verified	2017-12-07	ATH	EC0E3DCD6A4D7F0A	1	11139	1	3
Verified	2020-04-17	Oliver Kruse	3B1B4B886ADAC278	1	13932	5	3
Verified	2024-07-01	kkmrkkblmbrbk	3B1B4B886ADAC278	1	8245	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M13967/3497798117359203443260143530134347389850527745239 : 3B1B4B886ADAC278 PRP: Verified PRP without proof (small exponent)
2024-01-29	-Anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-22	JacobZ	NF-PM1	B1=7800000000, B2=32022192391138950
2020-04-17	Oliver Kruse	C-PRP	M13967/3497798117359203443260143530134347389850527745239 : 3B1B4B886ADAC278 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M13967/3497798117359203443260143530134347389850527745239 : EC0E3DCD6A4D7F0A PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M13967/3497798117359203443260143530134347389850527745239 : EC0E3DCD6A4D7F0A PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M13967/known_factors : EC0E3DCD6A4D7F0A PRP without proof (not generated)
2015-03-14	Carsten Kossendey	F-ECM	Factor: 3497798117359203443260143530134347389850527745239 / (ECM curve 192, B1=11000000, B2=1100000000)
2013-03-01	bcp19	NF-PM1	B1=10000000000, B2=100000000000, E=12
2012-11-22	bcp19	NF	no factor from 2^60 to 2^61
2012-10-12	Joss	NF-PM1	B1=629383865
2011-05-13	Joss	NF-PM1	B1=400000000
2010-07-04	George Woltman	NF	no factor from 2^59 to 2^60
2010-07-04	George Woltman	NF	no factor from 2^58 to 2^59