M8 777 777 777 Mersenne number exponent details

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is 2 ^8777777777 - 1

has 2642374407 decimal digits

takes 2,550,533.693 GHz-days to do one PRP test

0 primality tests remaining

	Residue	Status
L-L	-unknown-	-unknown-
PRP	-unknown-	-unknown-

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷⁴	0.4359	54.0541%	-	-	-	-	0.4359	54.0541%
Target	2⁹⁶	1,828,206.0549	64.5833%	40000000	2600000000	75,617.1898	4.0590%	1,903,823.2447	66.0209%
Difference	-22	-1,828,205.6190	-10.5293%	-40000000	-2600000000	-75,617.1898	-4.0590%	-1,903,822.8088	-11.9668%

Known prime factors (1 factor, 72.2 bits, 0.00000082% known):

Remaining cofactor is PRP status unknown

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
8777777777	5347252145703081736697	22	72.179	304590312124 2² × 7 × 181 × 60100693	2022-12-29	181	60100693	0.2034	1,379.7	2,576.7

P-1 results:
No P-1 results for M8777777777

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2022-12-24	Kriesel	martin	2¹	2⁷⁰		-	-	0.027	-	-
2022-12-29	Kriesel	martin	2⁷⁰	2⁷⁴	5347252145703081736697	72.179	22	0.409	5,178,680	0.848

ECM factoring results:
No ECM results for M8777777777

Lucas-Lehmer results:
No L-L results for M8777777777

PRP results:
No PRP results for M8777777777

P-1 factor-bounds graph:

X = B1; Y = B2
size of marker relates to size of factor
mouse-over any factor marker (circle) to see additional info
mouse-over any stage bound text to see additional info

10¹

10²

10³

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷⁴

2⁷⁰

this exponent TF target: 96

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2023-03-25T13:08:14+00:00