6 779 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
35331931073	11	35.0	old
2018319059111	13	40.9	old
398831220008359	15	48.5	old
370794024256135165403923216788195782234689	42	138.1	2021-03-26 21:56:19

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	2939 / 9201

Estimated T-Level: 41.6 ⓘ

TF below 2^133 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	D8F5010AD91AD83C	3	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	D8F5010AD91AD83C	3	0	1	3
Verified (Factored)	2017-12-07	ATH	D8F5010AD91AD83C	3	4681	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	EED767699C815EE5	3	1155	5	3
Verified	2021-03-29	mnd9	EED767699C815EE5	4	1134	5	3
Verified	2021-03-30	kracker	EED767699C815EE5	4	6013	5	3
Verified	2021-03-30	mnd9	EED767699C815EE5	4	65	5	3

History

Date	User	Type	Result
2023-08-13	-Anonymous-	NF-PM1	B1=36000000000, B2=144600212653396500
2021-12-18	Oliver Kruse	NF-PM1	B1=1000000000, B2=1080854750315340
2021-03-30	mnd9	C-PRP	M6779/35331931073/2018319059111/398831220008359/370794024256135165403923216788195782234689 : EED767699C815EE5 PRP: Verified PRP without proof (small exponent)
2021-03-30	kracker	C-PRP	M6779/35331931073/2018319059111/398831220008359/370794024256135165403923216788195782234689 : EED767699C815EE5 PRP: Verified PRP without proof (small exponent)
2021-03-29	mnd9	C-PRP	M6779/35331931073/2018319059111/398831220008359/370794024256135165403923216788195782234689 : EED767699C815EE5 PRP: Verified PRP without proof (small exponent)
2021-03-26	Ryan Propper	F-ECM	Factor: 370794024256135165403923216788195782234689 / (ECM curve 1, B1=43000000, B2=198654756318, Sigma=16715058427139527339)
2020-04-17	Oliver Kruse	C-PRP	M6779/35331931073/2018319059111/398831220008359 : EED767699C815EE5 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M6779/35331931073/2018319059111/398831220008359 : D8F5010AD91AD83C PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M6779/35331931073/2018319059111/398831220008359 : D8F5010AD91AD83C PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M6779/known_factors : D8F5010AD91AD83C PRP without proof (not generated)