8 009 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
555798105507191	15	49.0	old
198324801838331858447	21	67.4	old
8305464492973486429564759	25	82.8	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	16550 / 16550
55	110000000	10747 / 40830

Estimated T-Level: 51.3 ⓘ

TF below 2^165 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	BA25B7DA3AF94AC6	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	BA25B7DA3AF94AC6	3	0	1	3
Verified	2017-12-07	ATH	BA25B7DA3AF94AC6	3	2971	1	3
Verified	2020-04-17	Oliver Kruse	4A72953D213973DB	3	3851	5	3
Verified	2024-07-01	kkmrkkblmbrbk	4A72953D213973DB	3	286	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M8009/198324801838331858447/555798105507191/8305464492973486429564759 : 4A72953D213973DB PRP: Verified PRP without proof (small exponent)
2023-06-01	JacobZ	NF-PM1	B1=74000000000, B2=302392782203912400
2022-07-06	some-students	NF-PM1	B1=1000000000
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M8009/555798105507191/198324801838331858447/8305464492973486429564759 : 4A72953D213973DB PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M8009/555798105507191/198324801838331858447/8305464492973486429564759 : BA25B7DA3AF94AC6 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M8009/555798105507191/198324801838331858447/8305464492973486429564759 : BA25B7DA3AF94AC6 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8009/known_factors : BA25B7DA3AF94AC6 PRP without proof (not generated)