14 627 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
2574353	7	21.3	old
26220470014806570570143376667161569	35	114.3	2017-07-10 01:02:50

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1265 / 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	40E144B866089808	2	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	40E144B866089808	2	0	1	3
Verified	2017-12-07	ATH	40E144B866089808	2	6315	1	3
Verified	2020-04-17	Oliver Kruse	5B84F30378A4822A	2	11630	5	3
Verified	2024-07-01	kkmrkkblmbrbk	5B84F30378A4822A	2	6124	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M14627/2574353/26220470014806570570143376667161569 : 5B84F30378A4822A PRP: Verified PRP without proof (small exponent)
2024-02-09	-Anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-25	JacobZ	NF-PM1	B1=7400000000, B2=32522539163164050
2021-08-01	ViliamF	NF-PM1	B1=250000000, B2=42750000000
2020-04-17	Oliver Kruse	C-PRP	M14627/2574353/26220470014806570570143376667161569 : 5B84F30378A4822A PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M14627/2574353/26220470014806570570143376667161569 : 40E144B866089808 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M14627/2574353/26220470014806570570143376667161569 : 40E144B866089808 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M14627/2574353/26220470014806570570143376667161569 : 40E144B866089808 PRP without proof (not generated)
2017-07-10	kkmrkkblmbrbk	F-ECM	Factor: 26220470014806570570143376667161569 / (ECM curve 635, B1=1000000, B2=100000000)