M77149729 Mersenne number exponent details

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M77149729

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is 2 ^77149729 - 1

has 23224383 decimal digits

takes 217.519 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	0.3851	59.7015%	-	-	-	-	0.3851	59.7015%	0.0000%
PrimeNet	2⁷⁰	3.0972	61.4286%	340000	16000000	4.8780	5.7511%	7.9753	63.6468%	2.2183%
GPU72	2⁷⁴	49.5901	63.5135%	500000	18000000	5.9420	4.1975%	55.5321	65.0450%	1.5315%
Difference	-7	-49.2050	-3.8120%	-500000	-18000000	-5.9420	-4.1975%	-55.1470	-5.3435%	-5.3435%

Known prime factors (2 factors, 90.2 bits, 0.00011691% 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
77149729	10955261519	11	33.351	71 71	-	1	71	1.506e-11	1.968e-5	3.128e-5
77149729	129319102654546639	18	56.844	838104711 3 × 2089 × 133733	2015-08-07	2089	133733	0.0002	0.0379	0.0556

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
77149729	10955261519 129319102654546639	1416724588982965544627484641	28	90.195

P-1 results:
No P-1 results for M77149729

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2015-05-05T11:35:00	TJAOI	Manual testing	2⁵⁶	2⁵⁷*	129319102654546639	56.844	18	0.000	446.4	0.000

ECM factoring results:
No ECM results for M77149729

Lucas-Lehmer results:
No L-L results for M77149729

PRP results:
No PRP results for M77149729

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

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁶⁷

2⁵⁷

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2015-08-07T20:32:37+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