Cousin primes: Difference between revisions
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Line 22:
{{trans|Nim}}
<
F isPrime(n)
Line 43:
L(cousins) cousinList
print(String(cousins).center(10), end' I (L.index + 1) % 7 == 0 {"\n"} E ‘ ’)
print()</
{{out}}
Line 58:
=={{header|Action!}}==
{{libheader|Action! Sieve of Eratosthenes}}
<
PROC Main()
Line 75:
OD
PrintF("%E%EThere are %I pairs",count)
RETURN</
{{out}}
[https://gitlab.com/amarok8bit/action-rosetta-code/-/raw/master/images/Cousin_primes.png Screenshot from Atari 8-bit computer]
Line 89:
=={{header|Ada}}==
<
procedure Cousin_Primes is
Line 134:
New_Line;
Put_Line (Count'Image & " pairs.");
end Cousin_Primes;</
{{out}}
<pre>[ 3, 7] [ 7, 11] [ 13, 17] [ 19, 23] [ 37, 41] [ 43, 47] [ 67, 71] [ 79, 83]
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=={{header|ALGOL 68}}==
{{libheader|ALGOL 68-primes}}
<
# sieve the primes as required by the task #
PR read "primes.incl.a68" PR
Line 170:
OD;
print( ( newline, "Found ", whole( p count, 0 ), " cousin primes", newline ) )
END</
{{out}}
<pre>
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=={{header|ALGOL W}}==
<
integer MAX_PRIME;
MAX_PRIME := 1000;
Line 209:
write( i_w := 1, s_w := 0, "Found ", cCount, " cousin prime pairs up to ", MAX_PRIME )
end
end.</
{{out}}
<pre>
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=={{header|APL}}==
<
{{out}}
Line 269:
=={{header|AppleScript}}==
<
script o
property numberList : {missing value}
Line 294:
if (p - 4 is in primes) then set end of output to {p - 4, p's contents}
end repeat
return {|cousin prime pairs < 1000|:output, |count thereof|:(count output)}</
{{output}}
<
=={{header|Arturo}}==
<
primesUpto: select 0..upto => prime?
return select primesUpto => [prime? & + 4]
]
print map cousins 1000 'c -> @[c, c + 4]</
{{out}}
Line 313:
=={{header|AWK}}==
<syntaxhighlight lang="awk">
# syntax: GAWK -f COUSIN_PRIMES.AWK
BEGIN {
Line 337:
return(1)
}
</syntaxhighlight>
{{out}}
<pre>
Line 349:
=={{header|BASIC}}==
<
20 FOR P=2 TO SQR(L)
30 IF S(P) THEN 50
Line 358:
80 IF S(P)+S(P+4)=0 THEN N=N+1: PRINT P,P+4
90 NEXT
100 PRINT "There are";N;"cousin prime pairs below";L</
{{out}}
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=={{header|BCPL}}==
<
manifest $( LIMIT = 1000 $)
Line 437:
$)
writef("*N%N pairs found.*N", count)
$)</
{{out}}
<pre style="height:14em;">3, 7
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=={{header|C}}==
<
#include <string.h>
Line 512:
printf("There are %d cousin prime pairs below %d.\n", count, LIMIT);
return 0;
}</
{{out}}
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=={{header|COBOL}}==
<
PROGRAM-ID. COUSIN-PRIMES.
Line 610:
FLAG-PRIME. MOVE 1 TO PRIME-FLAG(Q).
UNFLAG-PRIME. MOVE 0 TO PRIME-FLAG(Q).
DONE. EXIT.</
{{out}}
<pre style='height:14em;'> 3 7
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=={{header|Cowgol}}==
<
const LIMIT := 1000;
Line 693:
print(" cousin prime pairs below ");
print_i16(LIMIT);
print_nl();</
{{out}}
Line 742:
=={{header|F_Sharp|F#}}==
This task uses [http://www.rosettacode.org/wiki/Extensible_prime_generator#The_functions Extensible Prime Generator (F#)]
<
// Cousin Primes: Nigel Galloway. April 2nd., 2021
primes32()|>Seq.pairwise|>Seq.takeWhile(fun(_,n)->n<1000)|>Seq.filter(fun(n,g)->g-n=4)|>Seq.iter(fun(n,g)->printf "(%d,%d) "n g); printfn ""
</syntaxhighlight>
{{out}}
<pre>
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=={{header|Factor}}==
{{works with|Factor|0.99 2021-02-05}}
<
sequences ;
Line 759:
[ [ prime? ] all? ] lfilter ;
lcousins [ last 1000 < ] lwhile [ . ] leach</
{{out}}
<pre style="height:14em">
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=={{header|FOCAL}}==
<
01.20 T %4
01.30 F N=3,2,996;D 2
Line 826:
03.50 S K=K+1
03.60 G 3.2
03.70 S A=0</
{{out}}
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=={{header|Forth}}==
{{works with|Gforth}}
<
: not-prime! ( n -- ) here + 1 swap c! ;
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1000 cousin-primes
bye</
{{out}}
Line 928:
Use one of the primality testing examples as an include.
<
dim as uinteger c=0, i
Line 936:
print using "Pair ##: #### and ####"; c; i; i+4
end if
next i</
{{out}}
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=={{header|Go}}==
{{trans|Wren}}
<
import "fmt"
Line 1,031:
}
fmt.Printf("\n\n%d pairs found\n", count)
}</
{{out}}
Line 1,047:
=={{header|Haskell}}==
<
import Data.List.Split (chunksOf)
import Data.Numbers.Primes (isPrime, primes)
Line 1,078:
let ws = maximum . fmap length <$> transpose rows
pw = printf . flip intercalate ["%", "s"] . show
in unlines $ intercalate gap . zipWith pw ws <$> rows</
{{Out}}
<pre>41 cousin prime pairs:
Line 1,093:
=={{header|J}}==
<
{{out}}
<pre style="height:14em;"> 3 7
Line 1,137:
967 971
Amount: 41</pre>
(In this example, we can get away with finding primes where adding 4 gives us another prime. But if the task had asked for cousin prime pairs less than 100, we would want to avoid the pair 97,101. And the simplest way of addressing that issue would have been to find primes where subtracting 4 gives us another prime.)
=={{header|jq}}==
Line 1,142 ⟶ 1,144:
'''Works with gojq, the Go implementation of jq'''
For the definition of `is_prime` used here, see https://rosettacode.org/wiki/Additive_primes<
def cousins:
# [2,6] is not a cousin so we can start at 3
Line 1,149 ⟶ 1,151:
| [., .+4];
997 | cousins</
{{out}}
See below.
Line 1,155 ⟶ 1,157:
'''The Count'''
To compute the pairs and the count at the same time without saving them as an array:<
foreach ((997|cousins),null) as $c (-1; .+1; if $c == null then "\nCount is \(.)" else $c end)</
{{out}}
<pre>
Line 1,206 ⟶ 1,208:
=={{header|Julia}}==
{{trans|Wren}}
<
let
Line 1,220 ⟶ 1,222:
println("\n\n$pcount pairs found.")
end
</
<pre>
Cousin prime pairs under 1,000:
Line 1,231 ⟶ 1,233:
41 pairs found.
</pre>
=={{header|Lua}}==
<syntaxhighlight lang="lua">
do -- find primes p where p+4 is also prime
local MAX_PRIME = 1000
local p = {} -- sieve the odd primes to MAX_PRIME
for i = 3, MAX_PRIME, 2 do p[ i ] = true end
for i = 3, math.floor( math.sqrt( MAX_PRIME ) ), 2 do
if p[ i ] then
for s = i * i, MAX_PRIME, i + i do p[ s ] = false end
end
end
local function fmt ( n ) return string.format( "%3d", n ) end
io.write( "Cousin primes under ", MAX_PRIME, ":\n" )
local cCount = 0
for i = 3, MAX_PRIME - 4, 2 do
if p[ i ] and p[ i + 4 ] then
cCount = cCount + 1
io.write( "[ ", fmt( i ), " ", fmt( i + 4 ), " ]"
, ( cCount % 8 == 0 and "\n" or " " )
)
end
end
io.write( "\nFound ", cCount, " cousin primes\n" )
end
</syntaxhighlight>
{{out}}
<pre>
Cousin primes under 1000:
[ 3 7 ] [ 7 11 ] [ 13 17 ] [ 19 23 ] [ 37 41 ] [ 43 47 ] [ 67 71 ] [ 79 83 ]
[ 97 101 ] [ 103 107 ] [ 109 113 ] [ 127 131 ] [ 163 167 ] [ 193 197 ] [ 223 227 ] [ 229 233 ]
[ 277 281 ] [ 307 311 ] [ 313 317 ] [ 349 353 ] [ 379 383 ] [ 397 401 ] [ 439 443 ] [ 457 461 ]
[ 463 467 ] [ 487 491 ] [ 499 503 ] [ 613 617 ] [ 643 647 ] [ 673 677 ] [ 739 743 ] [ 757 761 ]
[ 769 773 ] [ 823 827 ] [ 853 857 ] [ 859 863 ] [ 877 881 ] [ 883 887 ] [ 907 911 ] [ 937 941 ]
[ 967 971 ]
Found 41 cousin primes
</pre>
=={{header|MAD}}==
<
BOOLEAN PRIME
DIMENSION PRIME(1000)
Line 1,260 ⟶ 1,299:
VECTOR VALUES COUSIN = $I4,2H: ,I4*$
VECTOR VALUES TOTAL = $15HTOTAL COUSINS: ,I2*$
END OF PROGRAM </
{{out}}
Line 1,308 ⟶ 1,347:
=={{header|Mathematica}}/{{header|Wolfram Language}}==
<
primes = {primes, primes + 4} // Transpose;
Select[primes, AllTrue[PrimeQ]]
Length[%]</
{{out}}
<pre>{{3,7},{7,11},{13,17},{19,23},{37,41},{43,47},{67,71},{79,83},{97,101},{103,107},{109,113},{127,131},{163,167},{193,197},{223,227},{229,233},{277,281},{307,311},{313,317},{349,353},{379,383},{397,401},{439,443},{457,461},{463,467},{487,491},{499,503},{613,617},{643,647},{673,677},{739,743},{757,761},{769,773},{823,827},{853,857},{859,863},{877,881},{883,887},{907,911},{937,941},{967,971}}
Line 1,318 ⟶ 1,357:
=={{header|Nim}}==
We use a simple primality test (which is in fact executed at compile time). For large values of N, it would be better to use a sieve of Erathostenes and to replace the constants “PrimeList” and “PrimeSet” by read-only variables.
<
const N = 1000
Line 1,344 ⟶ 1,383:
stdout.write ($cousins).center(10)
stdout.write if (i+1) mod 7 == 0: '\n' else: ' '
echo()</
{{out}}
Line 1,358 ⟶ 1,397:
{{works with|Free Pascal}}
{{works with|Delphi}}Sieving only odd numbers.
<
//Free Pascal Compiler version 3.2.1 [2020/11/03] for x86_64fpc
{$IFDEF FPC}
Line 1,468 ⟶ 1,507:
setlength(primes,0);
END.</
{{out}}
<pre>
Line 1,491 ⟶ 1,530:
=={{header|Perl}}==
{{libheader|ntheory}}
<
use feature 'say';
use ntheory 'is_prime';
Line 1,497 ⟶ 1,536:
my($limit, @cp) = 1000;
is_prime($_) and is_prime($_+4) and push @cp, "$_/@{[$_+4]}" for 2..$limit;
say @cp . " cousin prime pairs < $limit:\n" . (sprintf "@{['%8s' x @cp]}", @cp) =~ s/(.{56})/$1\n/gr;</
{{out}}
<pre>41 cousin prime pairs < 1000:
Line 1,508 ⟶ 1,547:
=={{header|Phix}}==
<!--<
<span style="color: #008080;">function</span> <span style="color: #000000;">has_cousin</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">p</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: #000000;">p</span><span style="color: #0000FF;">+</span><span style="color: #000000;">4</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">=</span><span style="color: #000000;">2</span> <span style="color: #008080;">to</span> <span style="color: #000000;">7</span> <span style="color: #008080;">do</span>
Line 1,516 ⟶ 1,555:
<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;">"%,d cousin prime pairs less than %,d found: %v\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: #000000;">tn</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: #7060A8;">min</span><span style="color: #0000FF;">(</span><span style="color: #000000;">4</span><span style="color: #0000FF;">,</span><span style="color: #000000;">5</span><span style="color: #0000FF;">-</span><span style="color: #7060A8;">floor</span><span style="color: #0000FF;">(</span><span style="color: #000000;">n</span><span style="color: #0000FF;">/</span><span style="color: #000000;">2</span><span style="color: #0000FF;">)))})</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<!--</
<small>(Uses tn-9 instead of the more obvious tn-4 since none of 96,95,94,93,92 or similar with 9..99999 prefix could ever be prime. Note that {97,101} is deliberately excluded from < 100.)</small>
{{out}}
Line 1,529 ⟶ 1,568:
=={{header|Python}}==
<
from itertools import chain, takewhile
Line 1,654 ⟶ 1,693:
# MAIN ---
if __name__ == '__main__':
main()</
{{Out}}
<pre>41 cousin pairs below 1000:
Line 1,669 ⟶ 1,708:
(877, 881) (883, 887) (907, 911) (937, 941)
(967, 971)</pre>
=={{header|Quackery}}==
<code>eratosthenes</code> and <code>isprime</code> are defined at [[Sieve of Eratosthenes#Quackery]].
<syntaxhighlight lang="Quackery"> 1000 eratosthenes
[] 1000 4 - times
[ i^ isprime
i^ 4 + isprime
and if
[ i^ dup 4 + join
nested join ] ]
dup echo cr cr
size echo
</syntaxhighlight>
{{out}}
<pre>[ [ 3 7 ] [ 7 11 ] [ 13 17 ] [ 19 23 ] [ 37 41 ] [ 43 47 ] [ 67 71 ] [ 79 83 ] [ 97 101 ] [ 103 107 ] [ 109 113 ] [ 127 131 ] [ 163 167 ] [ 193 197 ] [ 223 227 ] [ 229 233 ] [ 277 281 ] [ 307 311 ] [ 313 317 ] [ 349 353 ] [ 379 383 ] [ 397 401 ] [ 439 443 ] [ 457 461 ] [ 463 467 ] [ 487 491 ] [ 499 503 ] [ 613 617 ] [ 643 647 ] [ 673 677 ] [ 739 743 ] [ 757 761 ] [ 769 773 ] [ 823 827 ] [ 853 857 ] [ 859 863 ] [ 877 881 ] [ 883 887 ] [ 907 911 ] [ 937 941 ] [ 967 971 ] ]
41
</pre>
=={{header|REXX}}==
This REXX version allows the limit to be specified, as well as the number of cousin prime pairs to be shown per line.
<
parse arg hi cols . /*get optional number of primes to find*/
if hi=='' | hi=="," then hi= 1000 /*Not specified? Then assume default.*/
Line 1,708 ⟶ 1,770:
#= # + 1; @.#= j; !.j= 1 /*bump prime count; assign prime & flag*/
end /*j*/
return</
{{out|output|text= when using the default inputs:}}
<pre>
Line 1,724 ⟶ 1,786:
===Filter===
Favoring brevity over efficiency due to the small range of n, the most concise solution is:
<syntaxhighlight lang="raku"
{{out}}
<pre>
Line 1,732 ⟶ 1,794:
A more efficient and versatile approach is to generate an infinite list of cousin primes, using this info from https://oeis.org/A023200 :
:Apart from the first term, all terms are of the form 6n + 1.
<syntaxhighlight lang="raku"
my $count = @cousins.first: :k, *.[0] > 1000;
.say for @cousins.head($count).batch(9);</
{{out}}
<pre>
Line 1,746 ⟶ 1,808:
=={{header|Ring}}==
<
load "stdlib.ring"
Line 1,780 ⟶ 1,842:
see "done..." + nl
</syntaxhighlight>
{{out}}
<pre>
Line 1,797 ⟶ 1,859:
found 81 unique cousin primes.
done...
</pre>
=={{header|RPL}}==
{{works with|HP|49}}
≪ { } → cousins
≪ 2 3 5
'''DO'''
ROT DROP DUP NEXTPRIME
'''CASE'''
DUP 4 PICK - 4 == '''THEN''' PICK3 OVER R→C 'cousins' SWAP STO+ '''END'''
DUP2 - -4 == '''THEN''' DUP2 R→C 'cousins' SWAP STO+ '''END'''
'''END'''
'''UNTIL''' DUP 1000 ≥ '''END'''
3 DROPN
cousins DUP SIZE
≫ ≫ '<span style="color:blue">TASK</span>' STO
{{out}}
<pre>
2: { (3., 7.) (7., 11.) (13., 17.) (19., 23.) (37., 41.) (43., 47.) (67., 71.) (79., 83.) (97., 101.) (103., 107.) (109., 113.) (127., 131.) (163., 167.) (193., 197.) (223., 227.) (229., 233.) (277., 281.) (307., 311.) (313., 317.) (349., 353.) (379., 383.) (397., 401.) (439., 443.) (457., 461.) (463., 467.) (487., 491.) (499., 503.) (613., 617.) (643., 647.) (673., 677.) (739., 743.) (757., 761.) (769., 773.) (823., 827.) (853., 857.) (859., 863.) (877., 881.) (883., 887.) (907., 911.) (937., 941.) (967., 971.) }
1: 41
</pre>
=={{header|Ruby}}==
<
primes = Prime.each(1000).to_a
p cousins = primes.filter_map{|pr| [pr, pr+4] if primes.include?(pr+4) }
puts "#{cousins.size} cousins found."
</syntaxhighlight>
{{out}}
<pre>[[3, 7], [7, 11], [13, 17], [19, 23], [37, 41], [43, 47], [67, 71], [79, 83], [97, 101], [103, 107], [109, 113], [127, 131], [163, 167], [193, 197], [223, 227], [229, 233], [277, 281], [307, 311], [313, 317], [349, 353], [379, 383], [397, 401], [439, 443], [457, 461], [463, 467], [487, 491], [499, 503], [613, 617], [643, 647], [673, 677], [739, 743], [757, 761], [769, 773], [823, 827], [853, 857], [859, 863], [877, 881], [883, 887], [907, 911], [937, 941], [967, 971]]
Line 1,811 ⟶ 1,893:
=={{header|Seed7}}==
<
const func boolean: isPrime (in integer: number) is func
Line 1,843 ⟶ 1,925:
end for;
writeln("\n" <& count <& " cousin prime pairs found < 1000.");
end func;</
{{out}}
<pre style="height:14em">
Line 1,892 ⟶ 1,974:
=={{header|Sidef}}==
<
var pairs = (limit-5).primes.map { [_, _+4] }.grep { .tail.is_prime }
say "Cousin prime pairs whose elements are less than #{limit.commify}:"
say pairs
say "\n#{pairs.len} pairs found"</
{{out}}
<pre>
Line 1,907 ⟶ 1,989:
=={{header|Swift}}==
<
func primeSieve(limit: Int) -> [Bool] {
Line 1,951 ⟶ 2,033:
}
}
print("\nNumber of cousin prime pairs < \(limit): \(count)")</
{{out}}
Line 1,970 ⟶ 2,052:
{{libheader|Wren-math}}
{{libheader|Wren-fmt}}
<
import "./fmt" for Fmt
var c = Int.primeSieve(999, false)
Line 1,986 ⟶ 2,068:
i = i + 2
}
System.print("\n\n%(count) pairs found")</
{{out}}
Line 1,999 ⟶ 2,081:
41 pairs found
</pre>
=={{header|XPL0}}==
<syntaxhighlight lang "XPL0">include xpllib; \For IsPrime and Print
int N, C;
[C:= 0;
for N:= 2 to 1000-1-4 do
[if IsPrime(N) then
if IsPrime(N+4) then
[Print("(%3.0f, %3.0f) ", float(N), float(N+4));
C:= C+1;
if rem(C/6) = 0 then CrLf(0);
];
];
Print("\nThere are %d cousin primes less than 1000.\n", C);
]</syntaxhighlight>
{{out}}
<pre>
( 3, 7) ( 7, 11) ( 13, 17) ( 19, 23) ( 37, 41) ( 43, 47)
( 67, 71) ( 79, 83) ( 97, 101) (103, 107) (109, 113) (127, 131)
(163, 167) (193, 197) (223, 227) (229, 233) (277, 281) (307, 311)
(313, 317) (349, 353) (379, 383) (397, 401) (439, 443) (457, 461)
(463, 467) (487, 491) (499, 503) (613, 617) (643, 647) (673, 677)
(739, 743) (757, 761) (769, 773) (823, 827) (853, 857) (859, 863)
(877, 881) (883, 887) (907, 911) (937, 941) (967, 971)
There are 41 cousin primes less than 1000.
</pre>
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