M22171559 Mersenne number exponent details

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M22171559

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is 2 ^22171559 - 1

has 6674305 decimal digits

takes 16.167 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	1.3402	62.6866%	-	-	-	-	1.3402	62.6866%	0.0000%
PrimeNet	2⁶⁵	0.3291	61.5385%	100000	3200000	0.2843	5.1459%	0.6134	63.5177%	1.9792%
GPU72	2⁶⁹	5.3847	63.7681%	170000	5000000	0.4580	3.9713%	5.8426	65.2070%	1.4389%
Difference	-2	-4.0445	-1.0815%	-170000	-5000000	-0.4580	-3.9713%	-4.5025	-2.5204%	-2.5204%

Known prime factors (2 factors, 79.5 bits, 0.00035866% 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
22171559	44343119	8	25.402	1 1	-	1	1	2.017e-13	1.057e-6	2.152e-6
22171559	19556214493805513	17	54.118	441020284 2² × 29 × 3801899	2014-11-04	29	3801899	0.0002	0.2190	0.4090

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
22171559	44343119 19556214493805513	867183546488342625815047	24	79.521

P-1 results:
No P-1 results for M22171559

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2014-11-04T12:30:00	TJAOI	Manual testing	2⁵⁴	2⁵⁵*	19556214493805513	54.118	17	0.000	33.27	0.000
2003-04-10T00:00:00	Thomas Mullen	v4_computers	2⁵⁶	2⁵⁷		-	-	0.000	-	-
2022-06-24T04:22:36	LordJulius	Manual testing	2¹	2⁶⁰	19556214493805513	54.118	17	0.000	33.27	0.000
2022-06-24T04:22:36	LordJulius	Manual testing	2¹	2⁶⁰	44343119	25.402	8	2.01656e-13	33.27	4.14940e-13

ECM factoring results:
No ECM results for M22171559

Lucas-Lehmer results:
No L-L results for M22171559

PRP results:
No PRP results for M22171559

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

TF factor-bounds graph:

2⁶⁷

2⁶⁰

2⁵⁷

2⁵⁵

2²⁰

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-06-24T04:22:36+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