8 741 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
69929	5	16.1	old
5926399	7	22.5	old
1569959708656190519	19	60.4	old
699075483833915085546449	24	79.2	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	9517 / 16550

Estimated T-Level: 47.9 ⓘ

TF below 2^154 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	7DDFDD9DE2A4EA69	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	7DDFDD9DE2A4EA69	4	0	1	3
Verified	2017-12-07	ATH	7DDFDD9DE2A4EA69	4	5013	1	3
Verified	2020-04-17	Oliver Kruse	42622FFD127579B6	4	2376	5	3
Verified	2024-07-01	kkmrkkblmbrbk	42622FFD127579B6	4	510	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M8741/1569959708656190519/5926399/699075483833915085546449/69929 : 42622FFD127579B6 PRP: Verified PRP without proof (small exponent)
2023-08-08	JacobZ	NF-PM1	B1=67000000000, B2=265422648792401100
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M8741/69929/5926399/1569959708656190519/699075483833915085546449 : 42622FFD127579B6 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M8741/69929/5926399/1569959708656190519/699075483833915085546449 : 7DDFDD9DE2A4EA69 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M8741/69929/5926399/1569959708656190519/699075483833915085546449 : 7DDFDD9DE2A4EA69 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8741/known_factors : 7DDFDD9DE2A4EA69 PRP without proof (not generated)