8 209 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
14759783	8	23.8	old
3077583521057	13	41.5	old

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	6710 / 16550

Estimated T-Level: 47.0 ⓘ

TF below 2^151 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	FE7B081DE1FCCDF5	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	FE7B081DE1FCCDF5	2	3417	1	3
Verified	2020-04-17	Oliver Kruse	994A0C605DD9F501	2	5825	5	3
Verified	2024-07-01	kkmrkkblmbrbk	994A0C605DD9F501	2	3061	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M8209/14759783/3077583521057 : 994A0C605DD9F501 PRP: Verified PRP without proof (small exponent)
2023-09-01	JacobZ	NF-PM1	B1=72000000000, B2=265422648792401100
2021-08-25	H Michaelson	NF-PM1	B1=100000000, B2=10000000000
2020-04-17	Oliver Kruse	C-PRP	M8209/14759783/3077583521057 : 994A0C605DD9F501 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M8209/14759783/3077583521057 : FE7B081DE1FCCDF5 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8209/14759783/3077583521057 : FE7B081DE1FCCDF5 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8209/14759783/3077583521057 : FE7B081DE1FCCDF5 PRP without proof (not generated)