M36687317 Mersenne number exponent details

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M36687317

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is 2 ^36687317 - 1

has 11043983 decimal digits

takes 45.859 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	1.6247	61.7647%	-	-	-	-	1.6247	61.7647%	0.0000%
PrimeNet	2⁶⁷	0.8099	61.1940%	160000	6000000	0.8667	5.3692%	1.6766	63.2776%	2.0836%
GPU72	2⁷¹	13.0312	63.3803%	260000	8000000	1.2356	4.0300%	14.2667	64.8560%	1.4758%
Difference	-3	-11.4065	-1.6156%	-260000	-8000000	-1.2356	-4.0300%	-12.6421	-3.0913%	-3.0913%

Known prime factors (2 factors, 119.5 bits, 0.00032586% 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
36687317	4834591165201591	16	52.102	65889135 3² × 5 × 13 × 23 × 59 × 83	-	59	83	2.809e-5	0.0001	0.0002
36687317	201048445376500226591	21	67.446	2740026551635 5 × 25733 × 21295819	2022-08-05	25733	21295819	0.9572	2.1471	3.9277

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
36687317	4834591165201591 201048445376500226591	971987037794742651249240725693706281	36	119.548

P-1 results:
No P-1 results for M36687317

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-01-08T00:00:00	Jocelyn Larouche	v4_computers	2¹	2⁵²		-	-	1.63534e-5	-	-
2022-08-10T19:29:24	LordJulius	Manual testing	2¹	2⁶⁶	4834591165201591	52.102	16	2.80875e-5	94.39	5.78141e-5
2022-08-10T19:29:24	LordJulius	Manual testing	2⁶⁶	2⁶⁷		-	-	0.407	-	-
2022-08-05T09:36:03	TJAOI	Manual testing	2⁶⁷	2⁶⁸*	201048445376500226591	67.446	21	0.147	93.58	0.301
2022-08-10T19:29:24	LordJulius	Manual testing	2⁶⁷	2⁶⁸	201048445376500226591	67.446	21	0.147	93.58	0.301

ECM factoring results:
No ECM results for M36687317

Lucas-Lehmer results:
No L-L results for M36687317

PRP results:
No PRP results for M36687317

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

10³

10⁴

10⁵

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁶

2⁵²

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-08-10T19:29:24+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