M86 243 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

0 primality tests remaining

Verified Mersenne Prime

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	unknown			10000	55000	0.0000	8.0470%	0.0000	8.0470%
Target	2⁴⁴	0.0000	61.3636%	500	50000	0.0000	2.3806%	0.0000	62.2834%
Difference	-44	0.0000	-61.3636%	+9500	+5000	+0.0000	+5.6664%	0.0000	-54.2364%

Known prime factors:
None — M86243 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
2002-11-16	ANONYMOUS	v4_computers	10000	55000		-		-	-	2.70825e-5	-	-	8.047%
2003-01-09	ANONYMOUS	v4_computers	10000	55000		-		-	-	2.70825e-5	-	-	8.047%

Trial Factoring results:
No TF results for M86243

ECM factoring results:
No ECM results for M86243

Lucas-Lehmer results:
No L-L results for M86243

PRP results:
No PRP results for M86243

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:

this exponent TF target: 44

TF double-checked to: 67.9

2⁵⁰

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Last modified: 2023-10-02T12:12:48+00:00