8 971 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
59568301217	11	35.8	old
3220810996367	13	41.6	old
6589256682907003009092967	25	82.4	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	8580 / 16550

Estimated T-Level: 47.6 ⓘ

TF below 2^153 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	B09688B077AF3000	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	B09688B077AF3000	3	0	1	3
Verified	2017-12-07	ATH	B09688B077AF3000	3	7113	1	3
Verified	2020-04-17	Oliver Kruse	CAE464A3BF28B6C4	3	928	5	3
Verified	2024-07-01	kkmrkkblmbrbk	CAE464A3BF28B6C4	3	2059	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M8971/3220810996367/59568301217/6589256682907003009092967 : CAE464A3BF28B6C4 PRP: Verified PRP without proof (small exponent)
2023-07-25	JacobZ	NF-PM1	B1=65000000000, B2=251099672798124150
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M8971/59568301217/3220810996367/6589256682907003009092967 : CAE464A3BF28B6C4 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M8971/59568301217/3220810996367/6589256682907003009092967 : B09688B077AF3000 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M8971/59568301217/3220810996367/6589256682907003009092967 : B09688B077AF3000 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8971/known_factors : B09688B077AF3000 PRP without proof (not generated)