6 577 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
789788513056621835547617455039685666797407894620591	51	169.1	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	3081 / 16550

Estimated T-Level: 45.9 ⓘ

TF below 2^148 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	5AD446A287EB76C4	1	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	5AD446A287EB76C4	1	0	1	3
Verified	2017-12-07	ATH	5AD446A287EB76C4	1	1094	1	3
Verified	2020-04-17	Oliver Kruse	04BE19D5AF0AD45F	1	3550	5	3
Verified	2024-02-03	Wentao Huang	04BE19D5AF0AD45F	1	6269	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M6577/789788513056621835547617455039685666797407894620591 : 04BE19D5AF0AD45F PRP: Verified PRP without proof (small exponent)
2023-08-09	-Anonymous-	NF-PM1	B1=37000000000, B2=148599418701633900
2021-12-17	Oliver Kruse	NF-PM1	B1=1000000000, B2=1003954060639530
2020-04-17	Oliver Kruse	C-PRP	M6577/789788513056621835547617455039685666797407894620591 : 04BE19D5AF0AD45F PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M6577/789788513056621835547617455039685666797407894620591 : 5AD446A287EB76C4 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M6577/789788513056621835547617455039685666797407894620591 : 5AD446A287EB76C4 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M6577/known_factors : 5AD446A287EB76C4 PRP without proof (not generated)