Meissel–Mertens constant: Difference between revisions
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m (Minor improvement to code.) |
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import java.util.List; |
import java.util.List; |
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/** |
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* Calculates the Meissel-Mertens constant correct to 9 s.f. in approximately 15 seconds. |
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*/ |
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public final class MeisselMertensConstant { |
public final class MeisselMertensConstant { |
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double sum = 0.0; |
double sum = 0.0; |
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for ( double reciprocal : primeReciprocals ) { |
for ( double reciprocal : primeReciprocals ) { |
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sum += |
sum += reciprocal + Math.log(1.0 - reciprocal); |
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} |
} |
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final double |
final double meisselMertens = euler + sum; |
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System.out.println("The Meissel-Mertens constant = " |
System.out.println(String.format("%s%.9f", "The Meissel-Mertens constant = ", meisselMertens)); |
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} |
} |
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sieve.set(2, aLimit + 1); |
sieve.set(2, aLimit + 1); |
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for ( int i = 2; i <= Math.sqrt(aLimit); i = sieve.nextSetBit(i + 1) ) { |
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for ( int i = 2; i <= squareRoot; i = sieve.nextSetBit(i + 1) ) { |
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for ( int j = i * i; j <= aLimit; j += i ) { |
for ( int j = i * i; j <= aLimit; j += i ) { |
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sieve.clear(j); |
sieve.clear(j); |
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} |
} |
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</syntaxhighlight> |
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{{ out }} |
{{ out }} |
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<pre> |
<pre> |
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The Meissel-Mertens constant = 0. |
The Meissel-Mertens constant = 0.261497213 |
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</pre> |
</pre> |
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