14 327 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
3141769890007686917158835691682745468462850937	46	151.1	2014-12-29 04:21:32

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	3174 / 9201

Estimated T-Level: 41.7 ⓘ

TF below 2^134 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Unknown	778E	0
Verified (Factored)		George Woltman	FABB5A9CC74A778E	0
Verified (Factored)		Brian J. Beesley	FABB5A9CC74A778E	0

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	3476E1F7F62603DE	1	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	3476E1F7F62603DE	1	0	1	3
Verified	2017-12-07	ATH	3476E1F7F62603DE	1	4287	1	3
Verified	2020-04-17	Oliver Kruse	5FC8AC7B74257CA5	1	6660	5	3
Verified	2024-07-01	kkmrkkblmbrbk	5FC8AC7B74257CA5	1	5569	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M14327/3141769890007686917158835691682745468462850937 : 5FC8AC7B74257CA5 PRP: Verified PRP without proof (small exponent)
2024-01-29	-Anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-24	JacobZ	NF-PM1	B1=7600000000, B2=30020805351537000
2020-04-17	Oliver Kruse	C-PRP	M14327/3141769890007686917158835691682745468462850937 : 5FC8AC7B74257CA5 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M14327/3141769890007686917158835691682745468462850937 : 3476E1F7F62603DE PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M14327/3141769890007686917158835691682745468462850937 : 3476E1F7F62603DE PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M14327/3141769890007686917158835691682745468462850937 : 3476E1F7F62603DE PRP without proof (not generated)
2014-12-29	Carsten Kossendey	F-ECM	Factor: 3141769890007686917158835691682745468462850937 / (ECM curve 106, B1=11000000, B2=1100000000)
2013-03-18	bcp19	NF-PM1	B1=10000000000, B2=500000000000, E=12
2012-12-25	bcp19	NF	no factor from 2^60 to 2^61
2012-10-12	Joss	NF-PM1	B1=607355021
2011-05-18	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