M86598229 Mersenne number exponent details

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M86598229

<<<

is 2 ^86598229 - 1

has 26068665 decimal digits

takes 278.918 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

-unknown- 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	Prob over default TF
Actual	2⁷⁶	176.7241	64.4737%	700000	13125000	6.4306	3.4386%	183.1547	65.6953%	1.2216%
PrimeNet	2⁷¹	5.5206	61.9718%	360000	17000000	5.9153	5.3932%	11.4359	64.0228%	2.0510%
GPU72	2⁷⁵	88.3610	64.0000%	550000	19000000	7.2631	3.9532%	95.6242	65.4231%	1.4231%
Difference	+1	+88.3631	+0.4737%	+150000	-5875000	-0.8325	-0.5145%	+87.5306	+0.2722%	+0.2722%

Known prime factors (1 factor, 106.4 bits, 0.00012288% 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
86598229	108228335544502116730471961653561	33	106.416	624887695708546861451820 2² × 3 × 5 × 19² × 23 × 71 × 73 × 2129 × 13151 × 8643707	2018-03-22	13151	8643707	1.637e+9	2.2574	4.1078

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2018-03-22T13:18:47	mikr	S057	700000	13125000			108228335544502116730471961653561	33	106.416	6.431	557.8	12.86	3.439%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-11-22T20:50:00	Architects Cubed	m1_58	2⁶⁴	2⁶⁵		-	-	0.043	-	-
2011-02-06T06:40:00	Michael C	Manual testing	2⁶⁵	2⁶⁶		-	-	0.086	-	-
2013-03-26T01:42:00	wangyun183	Manual testing	2⁶⁶	2⁶⁷		-	-	0.173	-	-
2013-03-31T05:35:00	David Barley	ken2	2⁶⁷	2⁶⁸		-	-	0.345	-	-
2013-08-19T02:16:00	SMoffat	Manual testing	2⁶⁸	2⁶⁹		-	-	0.690	-	-
2013-08-21T00:37:00	S04803	Manual testing	2⁶⁹	2⁷⁰		-	-	1.381	-	-
2013-12-04T13:07:00	josibo	Ziben	2⁷⁰	2⁷¹		-	-	2.761	-	-
2017-04-05T04:55:21	Judge Hale	Manual testing	2⁷¹	2⁷²		-	-	5.523	-	-
2017-04-05T05:55:21	Judge Hale	Manual testing	2⁷²	2⁷³		-	-	11.05	-	-
2017-05-19T00:33:23	gcardona	Manual testing	2⁷³	2⁷⁴		-	-	22.09	-	-
2018-02-20T04:31:36	RichD0	Manual testing	2⁷⁴	2⁷⁵		-	-	44.18	-	-
2018-02-22T01:36:32	Brandon	Manual testing	2⁷⁵	2⁷⁶		-	-	88.36	-	-

ECM factoring results:
No ECM results for M86598229

Lucas-Lehmer results:
No L-L results for M86598229

PRP results:
No PRP results for M86598229

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 = 700000, B2 = 13125000 (P-1 stage 2)

B1 = 700000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10³

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

2¹¹⁰

Last modified: 2018-03-22T13:18:47+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