M795 724 571 Mersenne number exponent details

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M795724571

<<<

is 2 ^795724571 - 1

has 239536965 decimal digits

takes 30,668.551 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	2⁷⁴	4.8080	59.4595 %	-	-	-	-	4.8080	59.4595 %
Target	2⁸⁴	4,923.6479	64.2857 %	4500000	1100000000	3,587.0536	4.4780 %	8,510.7015	65.8850 %
Difference	-10	-4,918.8399	-4.8263 %	-4500000	-1100000000	-3,587.0536	-4.4780 %	-8,505.8935	-6.4255 %

Known prime factors (1 factor, 73.5 bits, 0.00000923% 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
795724571	13006828672102529414639	23	73.462	8172946485589 31 × 263643435019	2020-04-29	31	263643435019	4.4276	802,739	1,499,294

P-1 results:
No P-1 results for M795724571

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
2011-08-30	monst	ampere	2⁶⁴	2⁶⁵				0.005
2013-09-15	america64	Manual testing	2⁶⁵	2⁶⁶				0.009
2014-10-12	monst	Manual testing	2⁶⁶	2⁷⁰				0.282
2020-04-29	ViliamF	Manual testing	2⁷⁰	2⁷⁴	13006828672102529414639	73.462	23	3.214

ECM factoring results:
No ECM results for M795724571

Lucas-Lehmer results:
No L-L results for M795724571

PRP results:
No PRP results for M795724571

CERT results:
No CERT results for M795724571

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

10⁰

10¹

10²

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

TF factor-bounds graph:

2⁷⁴

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