M20996047 Mersenne number exponent details

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M20996047

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is 2 ^20996047 - 1

has 6320440 decimal digits

takes 14.879 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	2.8389	63.2353%	-	-	-	-	2.8389	63.2353%	0.0000%
PrimeNet	2⁶⁵	0.3475	61.5385%	100000	3200000	0.2763	5.1082%	0.6238	63.5032%	1.9647%
GPU72	2⁶⁹	5.6862	63.7681%	150000	4500000	0.3977	3.7838%	6.0838	65.1391%	1.3709%
Difference	-1	-2.8473	-0.5328%	-150000	-4500000	-0.3977	-3.7838%	-3.2450	-1.9038%	-1.9038%

Known prime factors (2 factors, 109.4 bits, 0.00052098% 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
20996047	982807197414239	15	49.804	23404577 7 × 3343511	-	7	3343511	6.879e-6	0.1872	0.3496
20996047	862231429810299191	18	59.581	20533184885 5 × 17 × 1789 × 135029	2015-11-30	1789	135029	0.0048	0.0093	0.0141

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
20996047	982807197414239 862231429810299191	847407255054332274891266153580649	33	109.385

P-1 results:
No P-1 results for M20996047

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2015-11-30T12:27:20	TJAOI	Manual testing	2⁵⁹	2⁶⁰*	862231429810299191	59.581	18	0.001	30.69	0.002
2022-06-24T03:14:34	LordJulius	Manual testing	2⁶⁰	2⁶⁵		-	-	0.340	-	-
2022-06-24T03:14:34	LordJulius	Manual testing	2⁶⁵	2⁶⁶		-	-	0.356	-	-
2022-06-24T03:14:34	LordJulius	Manual testing	2⁶⁶	2⁶⁷		-	-	0.712	-	-
2022-04-11T20:17:40	LordJulius	Manual testing	2⁶⁷	2⁶⁸		-	-	1.424	-	-

ECM factoring results:
No ECM results for M20996047

Lucas-Lehmer results:
No L-L results for M20996047

PRP results:
No PRP results for M20996047

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

10⁷

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-06-24T03:14:34+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