M118483597 Mersenne number exponent details

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M118483597

<<<

is 2 ^118483597 - 1

has 35667117 decimal digits

takes 547.164 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	2⁶⁸	0.5031	60.2941%	-	-	-	-	0.5031	60.2941%	0.0000%
PrimeNet	2⁷²	8.0714	62.5000%	500000	24000000	11.9215	5.6267%	19.9930	64.6100%	2.1100%
GPU72	2⁷⁶	129.1655	64.4737%	800000	28000000	15.2802	4.2115%	144.4457	65.9699%	1.4962%
Difference	-8	-128.6624	-4.1796%	-800000	-28000000	-15.2802	-4.2115%	-143.9427	-5.6757%	-5.6757%

Known prime factors (2 factors, 132.7 bits, 0.00011203% 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
118483597	45245320839217473991	20	65.294	190934956335 3 × 5 × 12728997089	2012-07-15	5	12728997089	0.1011	4,643.9	8,673.5
118483597	201071469577864584119	21	67.446	848520279047 7 × 17 × 7130422513	2022-08-05	17	7130422513	0.2665	2,601.4	4,858.6

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
118483597	45245320839217473991 201071469577864584119	9097543152663438815924792452206914148929	40	132.741

P-1 results:
No P-1 results for M118483597

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2012-07-15T15:46:00	tsc	prt	?	?	45245320839217473991	65.294	20	0.040	1,123	0.081
2010-05-18T02:14:00	Richard	UNKNOWN	2⁶³	2⁶⁴		-	-	0.017	-	-
2010-10-14T09:06:00	Charles A. Morris	chandra	2⁶⁴	2⁶⁵		-	-	0.032	-	-
2022-08-10T19:29:33	LordJulius	Manual testing	2¹	2⁶⁷	45245320839217473991	65.294	20	0.101	1,123	0.207
2022-08-05T09:36:13	TJAOI	Manual testing	2⁶⁷	2⁶⁸*	201071469577864584119	67.446	21	0.016	1,122	0.032
2022-08-10T19:29:33	LordJulius	Manual testing	2⁶⁷	2⁶⁸	201071469577864584119	67.446	21	0.016	1,122	0.032

ECM factoring results:
No ECM results for M118483597

Lucas-Lehmer results:
No L-L results for M118483597

PRP results:
No PRP results for M118483597

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

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁵

2⁶⁴

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-08-10T19:29:33+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