8 693 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
260791	6	18.0	old
358540678934355598073	21	68.3	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	2402 / 16550

Estimated T-Level: 45.7 ⓘ

TF below 2^147 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	C420958D74DFDDAB	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	C420958D74DFDDAB	2	3462	1	3
Verified	2020-04-17	Oliver Kruse	5B97FB254CB400DE	2	8411	5	3
Verified	2024-07-01	kkmrkkblmbrbk	5B97FB254CB400DE	2	5463	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M8693/260791/358540678934355598073 : 5B97FB254CB400DE PRP: Verified PRP without proof (small exponent)
2023-08-10	JacobZ	NF-PM1	B1=67000000000, B2=265422648792401100
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M8693/260791/358540678934355598073 : 5B97FB254CB400DE PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M8693/260791/358540678934355598073 : C420958D74DFDDAB PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8693/260791/358540678934355598073 : C420958D74DFDDAB PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8693/260791/358540678934355598073 : C420958D74DFDDAB PRP without proof (not generated)