M17858221 Mersenne number exponent details

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M17858221

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is 2 ^17858221 - 1

has 5375861 decimal digits

takes 10.864 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	3.3377	63.2353%	-	-	-	-	3.3377	63.2353%	0.0000%
PrimeNet	2⁶⁵	0.4085	61.5385%	80000	2400000	0.1821	4.5615%	0.5906	63.2929%	1.7544%
GPU72	2⁶⁹	6.6853	63.7681%	130000	3600000	0.2814	3.4497%	6.9667	65.0180%	1.2499%
Difference	-1	-3.3476	-0.5328%	-130000	-3600000	-0.2814	-3.4497%	-3.6290	-1.7827%	-1.7827%

Known prime factors (2 factors, 99.2 bits, 0.00055526% 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
17858221	339127616791	12	38.303	9495 3² × 5 × 211	-	9	211	2.164e-9	1.765e-5	1.931e-5
17858221	2086639116888864089	19	60.856	58422367964 2² × 41 × 356233951	2016-03-10	41	356233951	0.0102	17.120	31.975

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
17858221	339127616791 2086639116888864089	707636950813397356909673318399	30	99.159

P-1 results:
No P-1 results for M17858221

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2016-03-10T12:38:01	TJAOI	Manual testing	2⁶⁰	2⁶¹*	2086639116888864089	60.856	19	0.002	22.52	0.003
2022-06-24T02:43:29	LordJulius	Manual testing	2⁶¹	2⁶⁵		-	-	0.391	-	-
2022-06-24T02:43:29	LordJulius	Manual testing	2⁶⁵	2⁶⁶		-	-	0.418	-	-
2022-06-24T02:43:29	LordJulius	Manual testing	2⁶⁶	2⁶⁷		-	-	0.837	-	-
2022-04-11T17:13:49	LordJulius	Manual testing	2⁶⁷	2⁶⁸		-	-	1.674	-	-

ECM factoring results:
No ECM results for M17858221

Lucas-Lehmer results:
No L-L results for M17858221

PRP results:
No PRP results for M17858221

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

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶¹

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-06-24T02:43:29+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