14 009 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
409822333009668300957056641056847396458241657	45	148.2	2015-11-06 18:36:47

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	2366 / 16550

Estimated T-Level: 45.7 ⓘ

TF below 2^147 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Unknown	6977	0
Verified (Factored)		George Woltman	9B5372634C2FE977	0
Verified (Factored)		Brian J. Beesley	9B5372634C2FE977	0
Verified (Factored)	2015-04-11	MadPoo	9B5372634C2FE977	11314

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	7D206A1E79B9D073	1	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	7D206A1E79B9D073	1	0	1	3
Verified	2017-12-07	ATH	7D206A1E79B9D073	1	3313	1	3
Verified	2020-04-17	Oliver Kruse	8E6609D1122103B6	1	792	5	3
Verified	2024-07-01	kkmrkkblmbrbk	8E6609D1122103B6	1	12990	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M14009/409822333009668300957056641056847396458241657 : 8E6609D1122103B6 PRP: Verified PRP without proof (small exponent)
2024-01-29	-Anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-23	JacobZ	NF-PM1	B1=7800000000, B2=32022192391138950
2020-04-17	Oliver Kruse	C-PRP	M14009/409822333009668300957056641056847396458241657 : 8E6609D1122103B6 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M14009/409822333009668300957056641056847396458241657 : 7D206A1E79B9D073 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M14009/409822333009668300957056641056847396458241657 : 7D206A1E79B9D073 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M14009/409822333009668300957056641056847396458241657 : 7D206A1E79B9D073 PRP without proof (not generated)
2015-11-06	Carsten Kossendey	F-ECM	Factor: 409822333009668300957056641056847396458241657 / (ECM curve 1366, B1=11000000, B2=1100000000)
2015-08-27	snme2pm1	NF	no factor from 2^61 to 2^62
2015-04-11	MadPoo	C-LL	9B5372634C2FE977
2013-03-04	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=626743736
2011-02-23	kurly	NF-PM1	B1=500000000, B2=30000000000, E=12
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