Summarize primes: Difference between revisions
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Thundergnat (talk | contribs) m (syntax highlighting fixup automation) |
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{{trans|Nim}} |
{{trans|Nim}} |
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< |
<syntaxhighlight lang="11l">F is_prime(a) |
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I a == 2 |
I a == 2 |
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R 1B |
R 1B |
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s += n |
s += n |
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I is_prime(s) |
I is_prime(s) |
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print(f:‘{idx:3} {n:5} {s:7}’)</ |
print(f:‘{idx:3} {n:5} {s:7}’)</syntaxhighlight> |
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{{out}} |
{{out}} |
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=={{header|ALGOL 68}}== |
=={{header|ALGOL 68}}== |
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{{libheader|ALGOL 68-primes}} |
{{libheader|ALGOL 68-primes}} |
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< |
<syntaxhighlight lang="algol68">BEGIN # sum the primes below n and report the sums that are prime # |
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# sieve the primes to 999 # |
# sieve the primes to 999 # |
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PR read "primes.incl.a68" PR |
PR read "primes.incl.a68" PR |
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) |
) |
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) |
) |
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END</ |
END</syntaxhighlight> |
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{{out}} |
{{out}} |
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<pre> |
<pre> |
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=={{header|ALGOL W}}== |
=={{header|ALGOL W}}== |
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< |
<syntaxhighlight lang="algolw">begin % sum the primes below n and report the sums that are prime % |
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integer MAX_NUMBER; |
integer MAX_NUMBER; |
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MAX_NUMBER := 999; |
MAX_NUMBER := 999; |
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) |
) |
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end |
end |
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end.</ |
end.</syntaxhighlight> |
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{{out}} |
{{out}} |
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<pre> |
<pre> |
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=={{header|Arturo}}== |
=={{header|Arturo}}== |
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< |
<syntaxhighlight lang="rebol">print (pad "index" 6) ++ " | " ++ |
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(pad "prime" 6) ++ " | " ++ |
(pad "prime" 6) ++ " | " ++ |
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(pad "prime sum" 11) |
(pad "prime sum" 11) |
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(pad to :string s 11) |
(pad to :string s 11) |
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] |
] |
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]</ |
]</syntaxhighlight> |
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{{out}} |
{{out}} |
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=={{header|AWK}}== |
=={{header|AWK}}== |
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<syntaxhighlight lang="awk"> |
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<lang AWK> |
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# syntax: GAWK -f SUMMARIZE_PRIMES.AWK |
# syntax: GAWK -f SUMMARIZE_PRIMES.AWK |
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BEGIN { |
BEGIN { |
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return(1) |
return(1) |
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} |
} |
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</syntaxhighlight> |
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</lang> |
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{{out}} |
{{out}} |
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<pre> |
<pre> |
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=={{header|C}}== |
=={{header|C}}== |
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{{trans|C++}} |
{{trans|C++}} |
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< |
<syntaxhighlight lang="c">#include <stdbool.h> |
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#include <stdio.h> |
#include <stdio.h> |
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return 0; |
return 0; |
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}</ |
}</syntaxhighlight> |
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{{out}} |
{{out}} |
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<pre>The sum of 1 primes in [2, 2] is 2 which is also prime |
<pre>The sum of 1 primes in [2, 2] is 2 which is also prime |
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=={{header|C++}}== |
=={{header|C++}}== |
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< |
<syntaxhighlight lang="cpp">#include <iostream> |
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bool is_prime(int n) { |
bool is_prime(int n) { |
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return 0; |
return 0; |
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}</ |
}</syntaxhighlight> |
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{{out}} |
{{out}} |
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<pre>The sum of 1 primes in [2, 2] is 2 which is also prime |
<pre>The sum of 1 primes in [2, 2] is 2 which is also prime |
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=={{header|F_Sharp|F#}}== |
=={{header|F_Sharp|F#}}== |
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This task uses [http://www.rosettacode.org/wiki/Extensible_prime_generator#The_functions Extensible Prime Generator (F#)] |
This task uses [http://www.rosettacode.org/wiki/Extensible_prime_generator#The_functions Extensible Prime Generator (F#)] |
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< |
<syntaxhighlight lang="fsharp"> |
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// Summarize Primes: Nigel Galloway. April 16th., 2021 |
// Summarize Primes: Nigel Galloway. April 16th., 2021 |
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primes32()|>Seq.takeWhile((>)1000)|>Seq.scan(fun(n,g) p->(n+1,g+p))(0,0)|>Seq.filter(snd>>isPrime)|>Seq.iter(fun(n,g)->printfn "%3d->%d" n g) |
primes32()|>Seq.takeWhile((>)1000)|>Seq.scan(fun(n,g) p->(n+1,g+p))(0,0)|>Seq.filter(snd>>isPrime)|>Seq.iter(fun(n,g)->printfn "%3d->%d" n g) |
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</syntaxhighlight> |
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</lang> |
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{{out}} |
{{out}} |
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<pre> |
<pre> |
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=={{header|Factor}}== |
=={{header|Factor}}== |
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{{works with|Factor|0.99 2021-02-05}} |
{{works with|Factor|0.99 2021-02-05}} |
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< |
<syntaxhighlight lang="factor">USING: assocs formatting kernel math.primes math.ranges |
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math.statistics prettyprint ; |
math.statistics prettyprint ; |
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1000 [ [1,b] ] [ primes-upto cum-sum ] bi zip |
1000 [ [1,b] ] [ primes-upto cum-sum ] bi zip |
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[ nip prime? ] assoc-filter |
[ nip prime? ] assoc-filter |
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[ "The sum of the first %3d primes is %5d (which is prime).\n" printf ] assoc-each</ |
[ "The sum of the first %3d primes is %5d (which is prime).\n" printf ] assoc-each</syntaxhighlight> |
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{{out}} |
{{out}} |
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<pre> |
<pre> |
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=={{header|Fermat}}== |
=={{header|Fermat}}== |
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< |
<syntaxhighlight lang="fermat">n:=0 |
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s:=0 |
s:=0 |
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for i=1, 162 do s:=s+Prime(i);if Isprime(s)=1 then n:=n+1;!!(n,Prime(i),s) fi od |
for i=1, 162 do s:=s+Prime(i);if Isprime(s)=1 then n:=n+1;!!(n,Prime(i),s) fi od |
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</syntaxhighlight> |
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</lang> |
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{{out}} |
{{out}} |
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<pre> |
<pre> |
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=={{header|Forth}}== |
=={{header|Forth}}== |
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{{works with|Gforth}} |
{{works with|Gforth}} |
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< |
<syntaxhighlight lang="forth">: prime? ( n -- flag ) |
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dup 2 < if drop false exit then |
dup 2 < if drop false exit then |
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dup 2 mod 0= if 2 = exit then |
dup 2 mod 0= if 2 = exit then |
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main |
main |
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bye</ |
bye</syntaxhighlight> |
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{{out}} |
{{out}} |
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=={{header|FreeBASIC}}== |
=={{header|FreeBASIC}}== |
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< |
<syntaxhighlight lang="freebasic">#include "isprime.bas" |
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print 1,2,2 |
print 1,2,2 |
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end if |
end if |
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end if |
end if |
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next i</ |
next i</syntaxhighlight> |
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{{out}} |
{{out}} |
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<pre> |
<pre> |
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{{trans|Wren}} |
{{trans|Wren}} |
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{{libheader|Go-rcu}} |
{{libheader|Go-rcu}} |
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< |
<syntaxhighlight lang="go">package main |
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import ( |
import ( |
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fmt.Println() |
fmt.Println() |
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fmt.Println(c, "such prime sums found") |
fmt.Println(c, "such prime sums found") |
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}</ |
}</syntaxhighlight> |
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{{out}} |
{{out}} |
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<pre> |
<pre> |
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=={{header|Haskell}}== |
=={{header|Haskell}}== |
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< |
<syntaxhighlight lang="haskell">import Data.List (scanl) |
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import Data.Numbers.Primes (isPrime, primes) |
import Data.Numbers.Primes (isPrime, primes) |
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mapM_ print $ |
mapM_ print $ |
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takeWhile (\(_, p, _) -> 1000 > p) indexedPrimeSums |
takeWhile (\(_, p, _) -> 1000 > p) indexedPrimeSums |
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</syntaxhighlight> |
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</lang> |
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{{Out}} |
{{Out}} |
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<pre>(1,2,2) |
<pre>(1,2,2) |
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=={{header|J}}== |
=={{header|J}}== |
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< |
<syntaxhighlight lang="j">primes=: p: i. _1 p: 1000 NB. all prime numbers below 1000 |
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sums=: +/\ primes NB. running sum of those primes |
sums=: +/\ primes NB. running sum of those primes |
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mask=: 1 p: sums NB. array of 0s, 1s where sums are primes |
mask=: 1 p: sums NB. array of 0s, 1s where sums are primes |
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NB. pretty-printed "boxed" output |
NB. pretty-printed "boxed" output |
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output=: 2 1 $ ' n prime sum ' ; < results</ |
output=: 2 1 $ ' n prime sum ' ; < results</syntaxhighlight> |
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{{out}} |
{{out}} |
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<pre> output |
<pre> output |
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{{works with|jq}} |
{{works with|jq}} |
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'''Works with gojq, the Go implementation of jq''' |
'''Works with gojq, the Go implementation of jq''' |
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< |
<syntaxhighlight lang="jq">def is_prime: |
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. as $n |
. as $n |
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| if ($n < 2) then false |
| if ($n < 2) then false |
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| (.[: $n] | add) as $sum |
| (.[: $n] | add) as $sum |
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| select($sum | is_prime) |
| select($sum | is_prime) |
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| "The sum of the \($n) primes from 2 to \(.[$n-1]) is \($sum)." )</ |
| "The sum of the \($n) primes from 2 to \(.[$n-1]) is \($sum)." )</syntaxhighlight> |
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{{out}} |
{{out}} |
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<pre> |
<pre> |
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=={{header|Julia}}== |
=={{header|Julia}}== |
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< |
<syntaxhighlight lang="julia">using Primes |
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p1000 = primes(1000) |
p1000 = primes(1000) |
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end |
end |
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end |
end |
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</ |
</syntaxhighlight>{{out}} |
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<pre> |
<pre> |
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The sum of the 1 primes from prime 2 to prime 2 is 2, which is prime. |
The sum of the 1 primes from prime 2 to prime 2 is 2, which is prime. |
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=={{header|Mathematica}}/{{header|Wolfram Language}}== |
=={{header|Mathematica}}/{{header|Wolfram Language}}== |
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< |
<syntaxhighlight lang="mathematica">p = Prime[Range[PrimePi[1000]]]; |
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TableForm[ |
TableForm[ |
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Select[Transpose[{Range[Length[p]], p, Accumulate[p]}], Last /* PrimeQ], |
Select[Transpose[{Range[Length[p]], p, Accumulate[p]}], Last /* PrimeQ], |
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TableHeadings -> {None, {"Prime count", "Prime", "Prime sum"}} |
TableHeadings -> {None, {"Prime count", "Prime", "Prime sum"}} |
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]</ |
]</syntaxhighlight> |
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{{out}} |
{{out}} |
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<pre>Prime count Prime Prime sum |
<pre>Prime count Prime Prime sum |
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=={{header|Nim}}== |
=={{header|Nim}}== |
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< |
<syntaxhighlight lang="nim">import math, strformat |
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const N = 999 |
const N = 999 |
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inc idx |
inc idx |
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s += n |
s += n |
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if s.isPrime: echo &"{idx:3} {n:5} {s:7}"</ |
if s.isPrime: echo &"{idx:3} {n:5} {s:7}"</syntaxhighlight> |
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{{out}} |
{{out}} |
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=={{header|Perl}}== |
=={{header|Perl}}== |
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{{libheader|ntheory}} |
{{libheader|ntheory}} |
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< |
<syntaxhighlight lang="perl">use strict; |
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use warnings; |
use warnings; |
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use ntheory <nth_prime is_prime>; |
use ntheory <nth_prime is_prime>; |
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} until $n >= $limit; |
} until $n >= $limit; |
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print "Of the first $limit primes: @{[scalar @sums]} cumulative prime sums:\n", join "\n", @sums;</ |
print "Of the first $limit primes: @{[scalar @sums]} cumulative prime sums:\n", join "\n", @sums;</syntaxhighlight> |
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{{out}} |
{{out}} |
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<pre style="height:70ex">Of the first 1000 primes: 76 cumulative prime sums: |
<pre style="height:70ex">Of the first 1000 primes: 76 cumulative prime sums: |
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=={{header|Phix}}== |
=={{header|Phix}}== |
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<!--< |
<!--<syntaxhighlight lang="phix">(phixonline)--> |
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<span style="color: #008080;">function</span> <span style="color: #000000;">sp</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">return</span> <span style="color: #7060A8;">is_prime</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">sum</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">get_primes</span><span style="color: #0000FF;">(-</span><span style="color: #000000;">n</span><span style="color: #0000FF;">)))</span> <span style="color: #008080;">end</span> <span style="color: #008080;">function</span> |
<span style="color: #008080;">function</span> <span style="color: #000000;">sp</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">return</span> <span style="color: #7060A8;">is_prime</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">sum</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">get_primes</span><span style="color: #0000FF;">(-</span><span style="color: #000000;">n</span><span style="color: #0000FF;">)))</span> <span style="color: #008080;">end</span> <span style="color: #008080;">function</span> |
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<span style="color: #004080;">sequence</span> <span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">apply</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">filter</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">tagset</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">get_primes_le</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1000</span><span style="color: #0000FF;">))),</span><span style="color: #000000;">sp</span><span style="color: #0000FF;">),</span><span style="color: #7060A8;">sprint</span><span style="color: #0000FF;">)</span> |
<span style="color: #004080;">sequence</span> <span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">apply</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">filter</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">tagset</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">get_primes_le</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1000</span><span style="color: #0000FF;">))),</span><span style="color: #000000;">sp</span><span style="color: #0000FF;">),</span><span style="color: #7060A8;">sprint</span><span style="color: #0000FF;">)</span> |
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<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"Found %d of em: %s\n"</span><span style="color: #0000FF;">,{</span><span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">res</span><span style="color: #0000FF;">),</span><span style="color: #7060A8;">join</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">shorten</span><span style="color: #0000FF;">(</span><span style="color: #000000;">res</span><span style="color: #0000FF;">,</span><span style="color: #008000;">""</span><span style="color: #0000FF;">,</span><span style="color: #000000;">5</span><span style="color: #0000FF;">),</span><span style="color: #008000;">", "</span><span style="color: #0000FF;">)})</span> |
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"Found %d of em: %s\n"</span><span style="color: #0000FF;">,{</span><span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">res</span><span style="color: #0000FF;">),</span><span style="color: #7060A8;">join</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">shorten</span><span style="color: #0000FF;">(</span><span style="color: #000000;">res</span><span style="color: #0000FF;">,</span><span style="color: #008000;">""</span><span style="color: #0000FF;">,</span><span style="color: #000000;">5</span><span style="color: #0000FF;">),</span><span style="color: #008000;">", "</span><span style="color: #0000FF;">)})</span> |
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<!--</ |
<!--</syntaxhighlight>--> |
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{{out}} |
{{out}} |
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<pre> |
<pre> |
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=={{header|Python}}== |
=={{header|Python}}== |
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< |
<syntaxhighlight lang="python">'''Prime sums of primes up to 1000''' |
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if __name__ == '__main__': |
if __name__ == '__main__': |
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main() |
main() |
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</syntaxhighlight> |
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</lang> |
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{{Out}} |
{{Out}} |
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<pre>1 -> 2 |
<pre>1 -> 2 |
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=={{header|Raku}}== |
=={{header|Raku}}== |
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<lang |
<syntaxhighlight lang="raku" line>use Lingua::EN::Numbers; |
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my @primes = grep *.is-prime, ^Inf; |
my @primes = grep *.is-prime, ^Inf; |
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} |
} |
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).join("\n") |
).join("\n") |
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given grep { @primesums[$_].is-prime }, ^1000;</ |
given grep { @primesums[$_].is-prime }, ^1000;</syntaxhighlight> |
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{{out}} |
{{out}} |
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<pre>76 cumulative prime sums: |
<pre>76 cumulative prime sums: |
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=={{header|REXX}}== |
=={{header|REXX}}== |
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< |
<syntaxhighlight lang="rexx">/*REXX pgm finds summation primes P, primes which the sum of primes up to P are prime. */ |
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parse arg hi . /*obtain optional argument from the CL.*/ |
parse arg hi . /*obtain optional argument from the CL.*/ |
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if hi=='' | hi=="," then hi= 1000 /*Not specified? Then use the default.*/ |
if hi=='' | hi=="," then hi= 1000 /*Not specified? Then use the default.*/ |
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#= #+1; @.#= j; sq.#= j*j; !.j= 1 /*bump # Ps; assign next P; P square; P*/ |
#= #+1; @.#= j; sq.#= j*j; !.j= 1 /*bump # Ps; assign next P; P square; P*/ |
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if @.#<hi then sP= sP + @.# /*maybe add this prime to sum─of─primes*/ |
if @.#<hi then sP= sP + @.# /*maybe add this prime to sum─of─primes*/ |
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end /*j*/; return</ |
end /*j*/; return</syntaxhighlight> |
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{{out|output|text= when using the default inputs:}} |
{{out|output|text= when using the default inputs:}} |
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<pre> |
<pre> |
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=={{header|Ring}}== |
=={{header|Ring}}== |
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< |
<syntaxhighlight lang="ring"> |
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load "stdlib.ring" |
load "stdlib.ring" |
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see "working..." + nl |
see "working..." + nl |
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see "Found " + row + " numbers" + nl |
see "Found " + row + " numbers" + nl |
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see "done..." + nl |
see "done..." + nl |
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</syntaxhighlight> |
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</lang> |
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{{out}} |
{{out}} |
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<pre> |
<pre> |
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=={{header|Ruby}}== |
=={{header|Ruby}}== |
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{{trans|C++}} |
{{trans|C++}} |
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< |
<syntaxhighlight lang="ruby">def isPrime(n) |
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if n < 2 then |
if n < 2 then |
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return false |
return false |
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end |
end |
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end |
end |
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print "There are %d summerized primes in [%d, %d]\n" % [sc, START, STOP]</ |
print "There are %d summerized primes in [%d, %d]\n" % [sc, START, STOP]</syntaxhighlight> |
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{{out}} |
{{out}} |
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<pre>The sum of 1 primes in [2, 2] is 2 which is also prime |
<pre>The sum of 1 primes in [2, 2] is 2 which is also prime |
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=={{header|Rust}}== |
=={{header|Rust}}== |
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< |
<syntaxhighlight lang="rust">// [dependencies] |
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// primal = "0.3" |
// primal = "0.3" |
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} |
} |
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} |
} |
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}</ |
}</syntaxhighlight> |
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{{out}} |
{{out}} |
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=={{header|Sidef}}== |
=={{header|Sidef}}== |
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< |
<syntaxhighlight lang="ruby">1000.primes.map_reduce {|a,b| a + b }.map_kv {|k,v| |
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[k+1, prime(k+1), v] |
[k+1, prime(k+1), v] |
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}.grep { .tail.is_prime }.prepend( |
}.grep { .tail.is_prime }.prepend( |
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Line 1,507: | Line 1,507: | ||
).each_2d {|n,p,s| |
).each_2d {|n,p,s| |
||
printf("%5s %6s %8s\n", n, p, s) |
printf("%5s %6s %8s\n", n, p, s) |
||
}</ |
}</syntaxhighlight> |
||
{{out}} |
{{out}} |
||
<pre> |
<pre> |
||
Line 1,537: | Line 1,537: | ||
{{libheader|Wren-math}} |
{{libheader|Wren-math}} |
||
{{libheader|Wren-fmt}} |
{{libheader|Wren-fmt}} |
||
< |
<syntaxhighlight lang="ecmascript">import "/math" for Int |
||
import "/fmt" for Fmt |
import "/fmt" for Fmt |
||
Line 1,554: | Line 1,554: | ||
} |
} |
||
} |
} |
||
System.print("\n%(c) such prime sums found")</ |
System.print("\n%(c) such prime sums found")</syntaxhighlight> |
||
{{out}} |
{{out}} |
||
Line 1,586: | Line 1,586: | ||
=={{header|XPL0}}== |
=={{header|XPL0}}== |
||
< |
<syntaxhighlight lang="xpl0">func IsPrime(N); \Return 'true' if N is a prime number |
||
int N, I; |
int N, I; |
||
[if N <= 1 then return false; |
[if N <= 1 then return false; |
||
Line 1,614: | Line 1,614: | ||
Text(0, " prime sums of primes found below 1000. |
Text(0, " prime sums of primes found below 1000. |
||
"); |
"); |
||
]</ |
]</syntaxhighlight> |
||
{{out}} |
{{out}} |