M79221613 Mersenne number exponent details

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M79221613

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is 2 ^79221613 - 1

has 23848082 decimal digits

takes 247.210 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	2⁶⁷	0.3751	59.7015%	-	-	-	-	0.3751	59.7015%	0.0000%
PrimeNet	2⁷¹	6.0347	61.9718%	340000	16000000	5.3989	5.2406%	11.4336	63.9647%	1.9929%
GPU72	2⁷⁵	96.5886	64.0000%	500000	17000000	6.3299	3.7782%	102.9186	65.3601%	1.3601%
Difference	-8	-96.2136	-4.2985%	-500000	-17000000	-6.3299	-3.7782%	-102.5435	-5.6587%	-5.6587%

Known prime factors (2 factors, 120.9 bits, 0.00015255% 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
79221613	12210875130689903	17	53.439	77067827 47 × 61 × 26881	-	61	26881	2.041e-5	0.0069	0.0124
79221613	196396610403153455089	21	67.412	1239539331288 2³ × 3 × 51647472137	2022-07-13	8	51647472137	0.5848	12,732	23,780

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
79221613	12210875130689903 196396610403153455089	2398174485723660409026808814696266367	37	120.851

P-1 results:
No P-1 results for M79221613

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-12-30T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵³		-	-	1.51464e-5	-	-
2022-07-14T18:17:16	LordJulius	Manual testing	2¹	2⁶⁷	12210875130689903	53.439	17	2.04149e-5	509.6	4.20870e-5
2022-07-13T08:17:34	TJAOI	Manual testing	2⁶⁷	2⁶⁸*	196396610403153455089	67.412	21	0.210	508.9	0.432

ECM factoring results:
No ECM results for M79221613

Lucas-Lehmer results:
No L-L results for M79221613

PRP results:
No PRP results for M79221613

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

2⁵³

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-07-14T18:17:16+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