14 813 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
37328761	8	25.2	old
7913669123431	13	42.8	2008-08-26 19:58:44
140465349203064771073633	24	76.9	2008-08-29 02:24:35

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1256 / 9201

Estimated T-Level: 40.7 ⓘ

TF below 2^130 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	21AC83EED2F4AA85	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	21AC83EED2F4AA85	3	0	1	3
Verified	2017-12-07	ATH	21AC83EED2F4AA85	3	12016	1	3
Unverified	2020-04-17	Oliver Kruse	486AF76BA7827F__	3	702	5	3

P-1 factors

Date	Factor	B1	B2
2024-03-07	140465349203064771073633	100000000000	122154521813133808

History

Date	User	Type	Result
2024-03-07	-Anonymous-	F-PM1	Factor: 140465349203064771073633 / (P-1, B1=100000000000, B2=122154521813133810)
2023-05-27	JacobZ	NF-PM1	B1=7300000000, B2=30020805351537000
2021-08-02	ViliamF	NF-PM1	B1=250000000, B2=42750000000
2020-04-17	Oliver Kruse	C-PRP	M14813/37328761/7913669123431/140465349203064771073633 : 486AF76BA7827F__ PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M14813/37328761/7913669123431/140465349203064771073633 : 21AC83EED2F4AA85 PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M14813/37328761/7913669123431/140465349203064771073633 : 21AC83EED2F4AA85 PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M14813/known_factors : 21AC83EED2F4AA85 PRP without proof (not generated)
2008-08-29	-Anonymous-	F-ECM	Factor: 140465349203064771073633
2008-08-26	-Anonymous-	F	Factor: 7913669123431