Meissel–Mertens constant: Difference between revisions

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{{out}}
<pre>MM = 0.2614972131057144</pre>
 
=={{header|EasyLang}}==
{{trans|BASIC256}}
<syntaxhighlight>
fastfunc isprim num .
if num mod 2 = 0
if num = 2
return 1
.
return 0
.
i = 3
while i <= sqrt num
if num mod i = 0
return 0
.
i += 2
.
return 1
.
func log x .
return log10 x / log10 2.7182818284590452354
.
euler = 0.5772156649
for x = 2 to 1e6
if isprim x = 1
m += log (1 - (1 / x)) + (1 / x)
.
.
numfmt 11 0
print "mm = " & euler + m
</syntaxhighlight>
 
{{out}}
<pre>
mm = 0.26149724673
</pre>
 
=={{header|FreeBASIC}}==
Line 592 ⟶ 629:
@show meissel_mertens(100_000_000) # meissel_mertens(100000000) = 0.2614972128591237
</syntaxhighlight>
 
=={{header|Maxima}}==
<syntaxhighlight lang="maxima">
meissel_mertens:%gamma+lsum(log(1-(1/i))+(1/i),i,primes(2,10000000)),numer;
</syntaxhighlight>
{{out}}
<pre>
0.2614972157776471
</pre>
 
=={{header|Nim}}==
Line 705 ⟶ 751:
{{libheader|ntheory}}
<syntaxhighlight lang="perl" line>use v5.36;
use ntheory 'is_prime'qw(forprimes);
 
my $s;
is_primeforprimes $_ and{ $s += log(1 - 1/$_)+1/$_ for 2 ..} 10**91e9;
say my $result = $s + .57721566490153286;</syntaxhighlight>
{{out}}
Line 875 ⟶ 921:
<pre>
1: 0.262733140866
</pre>
 
=={{header|Sidef}}==
<syntaxhighlight lang="ruby">var sum = 0
1e7.each_prime {|p|
with (1f/p) {|t|
sum += (log(1 - t) + t)
}
}
say sum+Num.EulerGamma</syntaxhighlight>
{{out}}
<pre>
0.26149721577767111119422410228297206467931376306
</pre>
 
Line 882 ⟶ 941:
{{libheader|Wren-fmt}}
It will be seen that this is converging to the correct answer though we'd need to add a lot more primes to obtain a valid 11th digit.
<syntaxhighlight lang="ecmascriptwren">import "./math" for Int
import "./fmt" for Fmt
 
Line 919 ⟶ 978:
{{libheader|Wren-gmp}}
This agrees with the Phix entry that the 1,000th digit after the decimal point is '8' after rounding (according to OEIS it's actually '7' but the next one is '7' also).
<syntaxhighlight lang="ecmascriptwren">import "./gmp" for Mpf
import "./math" for Int
import "./fmt" for Fmt
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