M795 343 711 Mersenne number exponent details

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M795343711

<<<

is 2 ^795343711 - 1

has 239422314 decimal digits

takes 30,653.872 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

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	2⁷³	2.4051	58.9041 %	-	-	-	-	2.4051	58.9041 %
Target	2⁸⁴	4,926.0057	64.2857 %	4500000	1100000000	3,587.0536	4.4778 %	8,513.0593	65.8849 %
Difference	-11	-4,923.6006	-5.3816 %	-4500000	-1100000000	-3,587.0536	-4.4778 %	-8,510.6542	-6.9808 %

Known prime factors (1 factor, 72.7 bits, 0.00000914% 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
795343711	7614333590129483202127	22	72.689	4786819512633 3⁵ × 523 × 37665097	2020-05-24	523	37665097	1.9451	114.71	214.19

P-1 results:
No P-1 results for M795343711

Trial Factoring results:

			Bits		Factor
date	userid	compid	from	to	factor	bits*	digits	GHz-days
2010-05-12	Architects Cubed	Manual testing	2⁶³	2⁶⁴				0.002
2011-08-28	monst	poincare	2⁶⁴	2⁶⁵				0.005
2013-09-15	america64	Manual testing	2⁶⁵	2⁶⁶				0.009
2014-10-26	monst	Manual testing	2⁶⁶	2⁷⁰				0.282
2020-05-24	ViliamF	Manual testing	2⁷⁰	2⁷³	7614333590129483202127	72.689	22	1.731

ECM factoring results:
No ECM results for M795343711

Lucas-Lehmer results:
No L-L results for M795343711

PRP results:
No PRP results for M795343711

CERT results:
No CERT results for M795343711

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:

2⁷³

2⁷⁰

2⁶⁶

2⁶⁵

2⁶⁴

this exponent TF target: 84

TF double-checked to: 67

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

JSON version of this page

Last modified: 2024-04-17T15:19:26+00:00

0M	<	10¹⁰	All tracked exponents
0M	<	2³²	GPU TF range
0M	<	1000M	PrimeNet range
0M	<	193M	low-PrimeNet, low-res
0M	<	385M	low-PrimeNet, high-res
50M	<	146M	PrimeNet wavefront