M89218187 Mersenne number exponent details

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M89218187

<<<

is 2 ^89218187 - 1

has 26857351 decimal digits

takes 300.781 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

1 primality tests remaining

	Residue	Status
L-L	-unknown-	-unknown-
PRP	BC8C524FC45A53__	verified PRP

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁷⁶	171.5345	64.4737%	720000	14220000	7.1151	3.5212%	178.6496	65.7247%	1.2510%
PrimeNet	2⁷¹	5.3585	61.9718%	360000	17000000	6.1916	5.4126%	11.5501	64.0302%	2.0583%
GPU72	2⁷⁵	85.7662	64.0000%	600000	20000000	8.0999	4.0528%	93.8661	65.4590%	1.4590%
Difference	+1	+85.7682	+0.4737%	+120000	-5780000	-0.9848	-0.5316%	+84.7835	+0.2656%	+0.2656%

Known prime factors:
No known factors for M89218187

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2018-10-31T20:48:46	arnaud	GTI06	720000	14220000	6	-		-	-	7.115	-	-	3.521%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-11-08T11:30:00	Architects Cubed	m1_09	2⁶⁴	2⁶⁵		-	-	0.042	-	-
2013-03-17T17:52:00	ANONYMOUS		2⁶⁵	2⁶⁶		-	-	0.084	-	-
2013-03-18T11:05:00	timc995	dl580_g5	2⁶⁶	2⁶⁷		-	-	0.168	-	-
2013-03-19T05:39:00	timc995	dl580_g5	2⁶⁷	2⁶⁸		-	-	0.335	-	-
2013-03-19T13:02:00	Den nye religion	Win8	2⁶⁸	2⁶⁹		-	-	0.670	-	-
2013-03-20T11:44:00	Den nye religion	Win8	2⁶⁹	2⁷⁰		-	-	1.340	-	-
2013-09-22T01:26:00	SMoffat	Manual testing	2⁷⁰	2⁷¹		-	-	2.680	-	-
2017-07-07T15:15:16	monst	Manual testing	2⁷¹	2⁷²		-	-	5.361	-	-
2017-08-18T20:59:11	Matthias Wurtinger	Manual testing	2⁷²	2⁷³		-	-	10.72	-	-
2017-08-23T08:37:06	Brian Beuning	Manual testing	2⁷³	2⁷⁴		-	-	21.44	-	-
2018-09-30T16:49:25	TheJudger	Manual testing	2⁷⁴	2⁷⁵		-	-	42.88	-	-
2018-09-30T16:49:25	TheJudger	Manual testing	2⁷⁵	2⁷⁶		-	-	85.77	-	-

ECM factoring results:
No ECM results for M89218187

Lucas-Lehmer results:
No L-L results for M89218187

PRP results:

date	userid	compid	cofactors	res64	PRP
2019-12-01T10:26:16	Ben Delo	i-03c701617afe37e76		BC8C524FC45A53__	no

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 = 720000, B2 = 14220000 (P-1 stage 2)

B1 = 720000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷⁶

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2019-12-01T10:26:16+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