M20486861 Mersenne number exponent details

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M20486861

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>>>

is 2 ^20486861 - 1

has 6167160 decimal digits

takes 14.519 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	2⁶⁸	2.9094	63.2353%	-	-	-	-	2.9094	63.2353%	0.0000%
PrimeNet	2⁶⁵	0.3561	61.5385%	90000	3200000	0.2666	5.0133%	0.6227	63.4667%	1.9282%
GPU72	2⁶⁹	5.8275	63.7681%	150000	4500000	0.3977	3.7711%	6.2252	65.1344%	1.3663%
Difference	-1	-2.9181	-0.5328%	-150000	-4500000	-0.3977	-3.7711%	-3.3157	-1.8991%	-1.8991%

Known prime factors (2 factors, 82.8 bits, 0.00040439% 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
20486861	122921167	9	26.873	3 3	-	1	3	4.367e-13	1.140e-6	2.091e-6
20486861	70724897080448713	17	55.973	1726103796 2² × 3 × 1451 × 99133	2015-08-06	1451	99133	0.0004	0.0070	0.0104

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
20486861	122921167 70724897080448713	8693586885083648685608071	25	82.846

P-1 results:
No P-1 results for M20486861

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2015-02-26T12:23:00	TJAOI	Manual testing	2⁵⁵	2⁵⁶*	70724897080448713	55.973	17	0.000	29.94	0.000
2022-06-24T03:14:32	LordJulius	Manual testing	2¹	2⁶⁵	122921167	26.873	9	4.36667e-13	29.94	9.00541e-13
2022-06-24T03:14:32	LordJulius	Manual testing	2¹	2⁶⁵	70724897080448713	55.973	17	0.000	29.94	0.001
2022-06-24T03:14:32	LordJulius	Manual testing	2⁶⁵	2⁶⁶		-	-	0.365	-	-
2022-06-24T03:14:32	LordJulius	Manual testing	2⁶⁶	2⁶⁷		-	-	0.730	-	-
2022-04-11T17:14:19	LordJulius	Manual testing	2⁶⁷	2⁶⁸		-	-	1.459	-	-

ECM factoring results:
No ECM results for M20486861

Lucas-Lehmer results:
No L-L results for M20486861

PRP results:
No PRP results for M20486861

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

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁵⁶

2²⁰

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-06-24T03:14:32+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