M86243 Mersenne number exponent details

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is 2 ⁸⁶²⁴³ - 1

has 25962 decimal digits

takes 0.000 GHz-days to do one PRP test

Is a Mersenne Prime!

Last-known PrimeNet details:

Exponent is not assigned to anyone

-unknown- L-L tests remaining

Verified Mersenne Prime

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	unknown			-	-	-	-	0.0000	0.0000%	-57.5000%
PrimeNet	2⁴⁰	0.0000	57.5000%	900	14000	0.0000	6.9065%	0.0000	60.4352%	2.9352%
GPU72	2⁴⁴	0.0000	61.3636%	500	10000	0.0000	2.3806%	0.0000	62.2834%	0.9198%
Difference	-44	0.0000	-61.3636%	-500	-10000	0.0000	-2.3806%	0.0000	-62.2834%	-62.2834%

Known prime factors:
None — M86,243 is prime!

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-11-16T00:00:00	ANONYMOUS	v4_computers	10000	55000		-		-	-	2.70825e-5	-	-	8.047%
2003-01-09T00:00:00	ANONYMOUS	v4_computers	10000	55000		-		-	-	2.70825e-5	-	-	8.047%

Trial Factoring results:
Exponent "86243" not found

ECM factoring results:
Exponent "86243" not found

Lucas-Lehmer results:
Exponent "86243" not found

PRP results:
Exponent "86243" not found

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

B1 = 10000, B2 = 55000 (P-1 stage 2)

B1 = 10000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10²

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2003-01-09T00:00:00+00:00