Find prime n such that reversed n is also prime: Difference between revisions

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;Task
Find prime &nbsp; '''n''' &nbsp; &nbsp; for &nbsp; '''0 < n < 500''' &nbsp; &nbsp; which are also primes when the (decimal) digits are reversed.
<br>Nearly [https://rosettacode.org/wiki/Emirp_primes Emirp Primes], which don't count palindromatic primes like 101.
<br><br>
=={{header|11l}}==
<syntaxhighlight lang="11l">F is_prime(a)
I a == 2
R 1B
I a < 2 | a % 2 == 0
R 0B
L(i) (3 .. Int(sqrt(a))).step(2)
I a % i == 0
R 0B
R 1B
 
L(n) 1..499
I is_prime(n) & is_prime(Int(reversed(String(n))))
print(n, end' ‘ ’)</syntaxhighlight>
 
{{out}}
<pre>
2 3 5 7 11 13 17 31 37 71 73 79 97 101 107 113 131 149 151 157 167 179 181 191 199 311 313 337 347 353 359 373 383 389
</pre>
 
=={{header|Action!}}==
{{libheader|Action! Sieve of Eratosthenes}}
<syntaxhighlight lang="action!">INCLUDE "H6:SIEVE.ACT"
 
BYTE FUNC IsPrimeAndItsReverse(INT i BYTE ARRAY primes)
INT rev
BYTE d
 
IF primes(i)=0 THEN
RETURN (0)
FI
rev=0
WHILE i#0
DO
d=i MOD 10
rev==*10
rev==+d
i==/10
OD
RETURN (primes(rev))
 
PROC Main()
DEFINE MAX="999"
BYTE ARRAY primes(MAX+1)
INT i,count=[0]
 
Put(125) PutE() ;clear the screen
Sieve(primes,MAX+1)
FOR i=2 TO 499
DO
IF IsPrimeAndItsReverse(i,primes) THEN
PrintI(i) Put(32)
count==+1
FI
OD
PrintF("%E%EThere are %I primes",count)
RETURN</syntaxhighlight>
{{out}}
[https://gitlab.com/amarok8bit/action-rosetta-code/-/raw/master/images/Find_prime_n_such_that_reversed_n_is_also_prime.png Screenshot from Atari 8-bit computer]
<pre>
2 3 5 7 11 13 17 31 37 71 73 79 97 101 107 113 131 149 151 157 167 179 181 191 199 311 313 337 347 353 359 373 383 389
 
There are 34 primes
</pre>
 
=={{header|Ada}}==
<syntaxhighlight lang="ada">with Ada.Text_Io;
 
procedure Reverse_Prime is
 
type Number is new Long_Integer range 0 .. Long_Integer'Last;
package Number_Io is new Ada.Text_Io.Integer_Io (Number);
 
function Is_Prime (A : Number) return Boolean is
D : Number;
begin
if A < 2 then return False; end if;
if A in 2 .. 3 then return True; end if;
if A mod 2 = 0 then return False; end if;
if A mod 3 = 0 then return False; end if;
D := 5;
while D * D <= A loop
if A mod D = 0 then
return False;
end if;
D := D + 2;
if A mod D = 0 then
return False;
end if;
D := D + 4;
end loop;
return True;
end Is_Prime;
 
function Reverse_Num (N : Number) return Number is
N2 : Number := N;
Res : Number := 0;
begin
while N2 /= 0 loop
Res := 10 * Res;
Res := Res + (N2 mod 10);
N2 := N2 / 10;
end loop;
return Res;
end Reverse_Num;
 
use Ada.Text_Io;
Count : Natural := 0;
begin
for N in Number range 1 .. 499 loop
if Is_Prime (N) and then Is_Prime (Reverse_Num (N)) then
Count := Count + 1;
Number_Io.Put (N, Width => 3); Put (" ");
if Count mod 8 = 0 then
New_Line;
end if;
end if;
end loop;
New_Line;
Put_Line (Count'Image & " primes.");
end Reverse_Prime;</syntaxhighlight>
{{out}}
<pre> 2 3 5 7 11 13 17 31
37 71 73 79 97 101 107 113
131 149 151 157 167 179 181 191
199 311 313 337 347 353 359 373
383 389
34 primes.</pre>
 
=={{header|ALGOL 68}}==
<syntaxhighlight lang="algol68">
BEGIN # find primes whose reversed digits are also prime #
INT max number = 500; # largest prime we will reverse #
INT max prime = 1 000; # enough primes to handle reversing #
# max number #
[ 1 : max prime ]BOOL p; FOR n TO UPB p DO p[ n ] := ODD n OD;
FOR i FROM 3 BY 2 TO ENTIER sqrt( UPB p ) DO
IF p[ i ] THEN
FOR s FROM i * i BY i + i TO UPB p DO p[ s ] := FALSE OD
FI
OD;
p[ 1 ] := FALSE; p[ 2 ] := TRUE;
OP FMT = ( INT n )STRING: whole( n, 0 );
INT count := 0;
FOR n TO max number DO
IF p[ n ] THEN
INT r := n MOD 10;
INT v := n;
WHILE ( v OVERAB 10 ) > 0 DO
r *:= 10 +:= v MOD 10
OD;
IF p[ r ] THEN
print( ( " ", whole( n, -3 ) ) );
IF ( count +:= 1 ) MOD 10 = 0 THEN print( ( newline ) ) FI
FI
FI
OD;
print( ( newline, "Found ", whole( count, 0 )
, " reversable primes up to ", whole( max number, 0 )
)
)
END
</syntaxhighlight>
{{out}}
<pre>
2 3 5 7 11 13 17 31 37 71
73 79 97 101 107 113 131 149 151 157
167 179 181 191 199 311 313 337 347 353
359 373 383 389
Found 34 reversable primes up to 500</pre>
 
=={{header|ALGOL W}}==
<langsyntaxhighlight lang="algolw">begin % find some primes whose digits reversed is also prime %
% sets p( 1 :: n ) to a sieve of primes up to n %
procedure Eratosthenes ( logical array p( * ) ; integer value n ) ;
Line 55 ⟶ 226:
write( i_w := 1, s_w := 0, "Found ", pCount, " reversable primes below ", MAX_NUMBER )
end
end.</langsyntaxhighlight>
{{out}}
<pre>
Line 61 ⟶ 232:
167 179 181 191 199 311 313 337 347 353 359 373 383 389
Found 34 reversable primes below 500
</pre>
 
=={{header|Arturo}}==
 
<syntaxhighlight lang="rebol">print
select 1..499 'x ->
and? [prime? x][prime? to :integer reverse to :string x]</syntaxhighlight>
 
{{out}}
 
<pre>2 3 5 7 11 13 17 31 37 71 73 79 97 101 107 113 131 149 151 157 167 179 181 191 199 311 313 337 347 353 359 373 383 389</pre>
 
=={{header|AWK}}==
<syntaxhighlight lang="awk">
# syntax: GAWK -f FIND_PRIME_N_FOR_THAT_REVERSED_N_IS_ALSO_PRIME.AWK
BEGIN {
start = 1
stop = 500
for (i=start; i<=stop; i++) {
if (is_prime(i) && is_prime(revstr(i,length(i)))) {
printf("%3d%1s",i,++count%10?"":"\n")
}
}
printf("\nReversible primes %d-%d: %d\n",start,stop,count)
exit(0)
}
function is_prime(x, i) {
if (x <= 1) {
return(0)
}
for (i=2; i<=int(sqrt(x)); i++) {
if (x % i == 0) {
return(0)
}
}
return(1)
}
function revstr(str,start) {
if (start == 0) {
return("")
}
return( substr(str,start,1) revstr(str,start-1) )
}
</syntaxhighlight>
{{out}}
<pre>
2 3 5 7 11 13 17 31 37 71
73 79 97 101 107 113 131 149 151 157
167 179 181 191 199 311 313 337 347 353
359 373 383 389
Reversible primes 1-500: 34
</pre>
 
=={{header|BASIC}}==
<syntaxhighlight lang="basic">10 DEFINT A-Z: MP=999: MX=500
15 MP=10^FIX(LOG(MX)/LOG(10)+1)
20 DIM C(MP): C(0)=-1: C(1)=-1
30 FOR P=2 TO SQR(MP)
40 FOR C=P+P TO MP STEP P: C(C)=-1: NEXT
50 NEXT
60 FOR N=1 TO MX: IF C(N) THEN 100
70 R=0: V=N
80 IF V>0 THEN R=10*R+V MOD 10: V=V\10: GOTO 80
90 IF NOT C(R) THEN PRINT N,
100 NEXT</syntaxhighlight>
{{out}}
<pre> 2 3 5 7 11
13 17 31 37 71
73 79 97 101 107
113 131 149 151 157
167 179 181 191 199
311 313 337 347 353
359 373 383 389</pre>
 
=={{header|bc}}==
<syntaxhighlight lang="bc">define t(n) {
auto i, p
if (n == 2) return(1)
for (i = 0; n % (p = a[i]) != 0; ++i) if (p * p > n) return(1)
return(0)
}
 
define r(n) {
auto m
for (m = 0; n > 9; n /= 10) m = (n % 10 + m) * 10
return(m + n)
}
 
for (n = 2; n != 500; ++n) if (t(n) != 0) a[o++] = n
 
for (i = 0; i != o; ++i) if (t(r(n = a[i])) != 0) n</syntaxhighlight>
 
=={{header|BCPL}}==
<syntaxhighlight lang="bcpl">get "libhdr"
 
let sieve(prime, n) be
$( 0!prime := false
1!prime := false
for i = 2 to n do i!prime := true
for p = 2 to n/2 if p!prime
$( let c = p*2
while c <= n
$( c!prime := false
c := c+p
$)
$)
$)
 
let reverse(n) = valof
$( let r=0
while n>0
$( r := 10*r + n rem 10
n := n/10
$)
resultis r
$)
 
let start() be
$( let prime = vec 999
sieve(prime, 999)
for i = 2 to 500
if i!prime & reverse(i)!prime do
writef("%N ",i)
wrch('*N')
$)</syntaxhighlight>
{{out}}
<pre>2 3 5 7 11 13 17 31 37 71 73 79 97 101 107 113 131 149 151 157 167 179 181 191 199 311 313 337 347 353 359 373 383 389</pre>
 
=={{header|C}}==
<syntaxhighlight lang="c">#include <stdbool.h>
#include <stdio.h>
 
bool is_prime(unsigned int n) {
if (n < 2)
return false;
if (n % 2 == 0)
return n == 2;
if (n % 3 == 0)
return n == 3;
for (unsigned int p = 5; p * p <= n; p += 4) {
if (n % p == 0)
return false;
p += 2;
if (n % p == 0)
return false;
}
return true;
}
 
unsigned int reverse(unsigned int n) {
unsigned int rev = 0;
for (; n > 0; n /= 10)
rev = rev * 10 + n % 10;
return rev;
}
 
int main() {
unsigned int count = 0;
for (unsigned int n = 1; n < 500; ++n) {
if (is_prime(n) && is_prime(reverse(n)))
printf("%3u%c", n, ++count % 10 == 0 ? '\n' : ' ');
}
printf("\nCount = %u\n", count);
return 0;
}</syntaxhighlight>
 
{{out}}
<pre>
2 3 5 7 11 13 17 31 37 71
73 79 97 101 107 113 131 149 151 157
167 179 181 191 199 311 313 337 347 353
359 373 383 389
Count = 34
</pre>
 
=={{header|CLU}}==
<syntaxhighlight lang="clu">sieve = proc (max: int) returns (array[bool])
prime: array[bool] := array[bool]$fill(0,max+1,true)
prime[0] := false
prime[1] := false
for p: int in int$from_to(2,max/2) do
if ~prime[p] then continue end
for c: int in int$from_to_by(p*p,max,p) do
prime[c] := false
end
end
return(prime)
end sieve
 
reverse = proc (n: int) returns (int)
r: int := 0
while n>0 do
r := 10*r + n//10
n := n/10
end
return(r)
end reverse
 
start_up = proc ()
po: stream := stream$primary_output()
prime: array[bool] := sieve(999)
for i: int in int$from_to(2, 500) do
if prime[i] cand prime[reverse(i)] then
stream$puts(po, int$unparse(i) || " ")
end
end
end start_up</syntaxhighlight>
{{out}}
<pre>2 3 5 7 11 13 17 31 37 71 73 79 97 101 107 113 131 149 151 157 167 179 181 191 199 311 313 337 347 353 359 373 383 389</pre>
 
=={{header|Cowgol}}==
<syntaxhighlight lang="cowgol">include "cowgol.coh";
 
const PRIME_LIMIT := 999;
const LIMIT := 500;
 
var prime: uint8[PRIME_LIMIT + 1];
typedef P is @indexof prime;
sub sieve() is
prime[0] := 0;
prime[1] := 0;
MemSet(&prime[2], 0xFF, @bytesof prime-2);
var p: P := 2;
while p*p <= PRIME_LIMIT loop
if prime[p] != 0 then
var c := p*p;
while c <= PRIME_LIMIT loop
prime[c] := 0;
c := c + p;
end loop;
end if;
p := p + 1;
end loop;
end sub;
 
sub reverse(n: P): (r: P) is
r := 0;
while n>0 loop
r := 10*r + n%10;
n := n/10;
end loop;
end sub;
 
sieve();
var n: P := 1;
while n <= LIMIT loop
if prime[n] != 0 and prime[reverse(n)] != 0 then
print_i32(n as uint32);
print_char(' ');
end if;
n := n + 1;
end loop;
print_nl();</syntaxhighlight>
{{out}}
<pre>2 3 5 7 11 13 17 31 37 71 73 79 97 101 107 113 131 149 151 157 167 179 181 191 199 311 313 337 347 353 359 373 383 389</pre>
=={{header|Delphi}}==
{{libheader| System.SysUtils}}
{{libheader| PrimTrial}}
{{Trans|Ring}}
<syntaxhighlight lang="delphi">
program Find_prime_n_for_that_reversed_n_is_also_prime;
 
{$APPTYPE CONSOLE}
 
uses
System.SysUtils,
PrimTrial;
 
function Reverse(s: string): string;
var
i: Integer;
begin
Result := '';
if Length(s) < 2 then
exit(s);
for i := Length(s) downto 1 do
Result := Result + s[i];
end;
 
begin
writeln('working...'#10);
var row := 0;
var count := 0;
var limit := 500;
 
for var n := 1 to limit - 1 do
begin
if not isPrime(n) then
Continue;
 
var val := n.ToString;
var valr := reverse(val);
var nr := valr.ToInteger;
 
if not isPrime(nr) then
Continue;
 
write(n: 4);
 
inc(row);
inc(count);
if row mod 10 = 0 then
writeln;
end;
writeln(#10#10, 'found ', count, ' primes');
Writeln('done...');
readln;
end.</syntaxhighlight>
{{out}}
<pre>working...
 
2 3 5 7 11 13 17 31 37 71
73 79 97 101 107 113 131 149 151 157
167 179 181 191 199 311 313 337 347 353
359 373 383 389
 
found 34 primes
done...</pre>
 
=={{header|EasyLang}}==
<syntaxhighlight>
fastfunc reverse n .
while n > 0
r = r * 10 + n mod 10
n = n div 10
.
return r
.
fastfunc isprim num .
i = 2
while i <= sqrt num
if num mod i = 0
return 0
.
i += 1
.
return 1
.
fastfunc nextprim prim .
repeat
prim += 1
until isprim prim = 1
.
return prim
.
prim = 2
while prim < 500
if isprim reverse prim = 1
write prim & " "
.
prim = nextprim prim
.
</syntaxhighlight>
{{out}}
<pre>
2 3 5 7 11 13 17 31 37 71 73 79 97 101 107 113 131 149 151 157 167 179 181 191 199 311 313 337 347 353 359 373 383 389
</pre>
 
=={{header|F_Sharp|F#}}==
This task uses [http://www.rosettacode.org/wiki/Extensible_prime_generator#The_functions Extensible Prime Generator (F#)]
<syntaxhighlight lang="fsharp">
// Reversible Primes. Nigel Galloway: March 22nd., 2021
let emirp2=let rec fN g=function |0->g |n->fN(g*10+n%10)(n/10) in primes32()|>Seq.filter(fN 0>>isPrime)
emirp2|>Seq.takeWhile((>)500)|>Seq.iter(printf "%d "); printfn ""
</syntaxhighlight>
{{out}}
<pre>
2 3 5 7 11 13 17 31 37 71 73 79 97 101 107 113 131 149 151 157 167 179 181 191 199 311 313 337 347 353 359 373 383 389
</pre>
 
=={{header|Factor}}==
{{works with|Factor|0.99 2021-02-05}}
<langsyntaxhighlight lang="factor">USING: formatting grouping io kernel math math.primes sequences ;
 
: reverse-digits ( 123 -- 321 )
Line 72 ⟶ 612:
499 primes-upto [ reverse-digits prime? ] filter
dup length "Found %d reverse primes < 500.\n\n" printf
10 group [ [ "%4d" printf ] each nl ] each nl</langsyntaxhighlight>
{{out}}
<pre>
Line 81 ⟶ 621:
167 179 181 191 199 311 313 337 347 353
359 373 383 389
</pre>
 
=={{header|Forth}}==
{{works with|Gforth}}
<syntaxhighlight lang="forth">: prime? ( n -- ? ) here + c@ 0= ;
: not-prime! ( n -- ) here + 1 swap c! ;
 
: prime-sieve ( n -- )
here over erase
0 not-prime!
1 not-prime!
2
begin
2dup dup * >
while
dup prime? if
2dup dup * do
i not-prime!
dup +loop
then
1+
repeat
2drop ;
 
: reverse ( n -- n )
0 swap
begin
dup 0 >
while
10 /mod swap rot 10 * + swap
repeat drop ;
 
: main
1000 prime-sieve
0
500 1 do
i prime? if i reverse prime? if
1 +
i 3 .r
dup 10 mod 0= if cr else space then
then then
loop
cr ." Count: " . cr ;
 
main
bye</syntaxhighlight>
 
{{out}}
<pre>
2 3 5 7 11 13 17 31 37 71
73 79 97 101 107 113 131 149 151 157
167 179 181 191 199 311 313 337 347 353
359 373 383 389
Count: 34
</pre>
 
=={{header|FreeBASIC}}==
Use one of the primality testing algorithms as an include as I can't be bothered putting these in all the time.
<syntaxhighlight lang="freebasic">#include "isprime.bas"
 
function isbackprime( byval n as integer ) as boolean
if not isprime(n) then return false
dim as integer m = 0
while n
m *= 10
m += n mod 10
n \= 10
wend
return isprime(m)
end function
 
for n as uinteger = 2 to 499
if isbackprime(n) then print n;" ";
next n
print</syntaxhighlight>
{{out}}<pre>2 3 5 7 11 13 17 31 37 71 73 79 97 101 107 113 131 149 151 157 167 179 181 191 199 311 313 337 347 353 359 373 383 389</pre>
 
=={{header|Frink}}==
<syntaxhighlight lang="frink">select[primes[2,500], {|n| isPrime[parseInt[join["", reverse[integerDigits[n]]]]]}]</syntaxhighlight>
{{out}}
<pre>
[2, 3, 5, 7, 11, 13, 17, 31, 37, 71, 73, 79, 97, 101, 107, 113, 131, 149, 151, 157, 167, 179, 181, 191, 199, 311, 313, 337, 347, 353, 359, 373, 383, 389]
</pre>
 
=={{header|Go}}==
<syntaxhighlight lang="go">package main
 
import "fmt"
 
func sieve(limit int) []bool {
limit++
// True denotes composite, false denotes prime.
c := make([]bool, limit) // all false by default
c[0] = true
c[1] = true
for i := 4; i < limit; i += 2 {
c[i] = true
}
p := 3 // Start from 3.
for {
p2 := p * p
if p2 >= limit {
break
}
for i := p2; i < limit; i += 2 * p {
c[i] = true
}
for {
p += 2
if !c[p] {
break
}
}
}
return c
}
 
func reversed(n int) int {
rev := 0
for n > 0 {
rev = rev*10 + n%10
n /= 10
}
return rev
}
 
func main() {
c := sieve(999)
reversedPrimes := []int{2}
for i := 3; i < 500; i += 2 {
if !c[i] && !c[reversed(i)] {
reversedPrimes = append(reversedPrimes, i)
}
}
fmt.Println("Primes under 500 which are also primes when the digits are reversed:")
for i, p := range reversedPrimes {
fmt.Printf("%5d", p)
if (i+1) % 10 == 0 {
fmt.Println()
}
}
fmt.Printf("\n\n%d such primes found.\n", len(reversedPrimes))
}</syntaxhighlight>
 
{{out}}
<pre>
Primes under 500 which are also primes when the digits are reversed:
2 3 5 7 11 13 17 31 37 71
73 79 97 101 107 113 131 149 151 157
167 179 181 191 199 311 313 337 347 353
359 373 383 389
 
34 such primes found.
</pre>
 
=={{header|Haskell}}==
<langsyntaxhighlight lang="haskell">import Data.List (intercalate, transpose)
import Data.List.Split (chunksOf)
import Data.Numbers.Primes (isPrime, primes)
Line 95 ⟶ 788:
 
--------------------------- TEST -------------------------
 
main :: IO ()
main =
mapM_
(putStrLn . table " " . chunksOf 5 . fmap show) $
putStrLn
takeWhile (< 500) (filter p primes)
[ "Reversible primes below 500:",
(table " " . chunksOf 10 . fmap show) $
takeWhile (< 500) (filter p primes)
]
 
------------------------ FORMATTING ----------------------
Line 105 ⟶ 801:
table :: String -> [[String]] -> String
table gap rows =
let icwidths = intercalate
ws = maximum . fmap length <$> transpose rows
pw = printf . flip<$> ictranspose ["%", "s"] . showrows
in unlines $ ic gap . zipWith pw ws <$> rows</lang>
fmap
( intercalate gap
. zipWith
( printf
. flip intercalate ["%", "s"]
. show
)
widths
)
rows</syntaxhighlight>
{{Out}}
<pre>Reversible primes below 500:
<pre> 2 3 5 7 11
2 3 5 7 11 13 17 31 37 71
73 79 97 101 107 113 131 149 151 157
167 179 181 191 199 311 313 337 347 353
113 131 149 151 157
167 179 181 191 199
311 313 337 347 353
359 373 383 389</pre>
 
=={{header|J}}==
<syntaxhighlight lang="j"> (#~ 1 p: |.&.":"0) i.&.(p:inv) 500
2 3 5 7 11 13 17 31 37 71 73 79 97 101 107 113 131 149 151 157 167 179 181 191 199 311 313 337 347 353 359 373 383 389</syntaxhighlight>
 
=={{header|jq}}==
{{works with|jq}}
'''Works with gojq, the Go implementation of jq'''
 
Using the definition of is_prime at [[Erd%C5%91s-primes#jq]]:
<syntaxhighlight lang="jq"># Generate a stream of reversible primes.
# If . is null the stream is unbounded;
# otherwise only integers less than . are considered.
 
def reversible_primes:
def r: tostring|explode|reverse|implode|tonumber;
(if . == null then infinite else . end) as $n
| 2, (range(3; $n; 2) | select(is_prime and (r|is_prime)));
 
"Primes under 500 which are also primes when the digits are reversed:",
(500 | reversible_primes)</syntaxhighlight>
{{out}}
<pre>
Primes under 500 which are also primes when the digits are reversed:
2
3
5
7
11
13
17
31
37
71
73
79
97
101
107
113
131
149
151
157
167
179
181
191
199
311
313
337
347
353
359
373
383
389
</pre>
 
=={{header|Julia}}==
<syntaxhighlight lang="julia">using Primes
 
let
pmask, pcount = primesmask(1, 994), 0
isreversibleprime(n) = pmask[n] && pmask[evalpoly(10, reverse(digits(n)))]
 
println("Reversible primes between 0 and 500:")
for n in 1:499
if isreversibleprime(n)
pcount += 1
print(rpad(n, 4), pcount % 17 == 0 ? "\n" : "")
end
end
println("Total found: $pcount")
end
</syntaxhighlight>{{out}}
<pre>
Reversible primes between 0 and 500:
2 3 5 7 11 13 17 31 37 71 73 79 97 101 107 113 131
149 151 157 167 179 181 191 199 311 313 337 347 353 359 373 383 389
Total found: 34
</pre>
 
=={{header|Mathematica}}/{{header|Wolfram Language}}==
<syntaxhighlight lang="mathematica">Select[Range[499], PrimeQ[#] \[And] PrimeQ[IntegerReverse[#]] &]</syntaxhighlight>
{{out}}
<pre>{2,3,5,7,11,13,17,31,37,71,73,79,97,101,107,113,131,149,151,157,167,179,181,191,199,311,313,337,347,353,359,373,383,389}</pre>
 
=={{header|Lua}}==
<syntaxhighlight lang="lua">
do -- find primes whose reversed digits are also prime
local function isPrime( p )
if p <= 1 or p % 2 == 0 then
return p == 2
else
local prime = true
local i = 3
local rootP = math.floor( math.sqrt( p ) )
while i <= rootP and prime do
prime = p % i ~= 0
i = i + 2
end
return prime
end
end
local function reverseDigits( n )
return tonumber( string.reverse( tostring( n ) ) )
end
local count = 0
for n = 1,500 do
if isPrime( n ) then
if isPrime( reverseDigits( n ) ) then
count = count + 1
io.write( string.format( "%3d", n ), count % 10 == 0 and "\n" or " " )
end
end
end
io.write( "\nFound ", count, " reversable primes up to 500" )
end
</syntaxhighlight>
{{out}}
<pre>
2 3 5 7 11 13 17 31 37 71
73 79 97 101 107 113 131 149 151 157
167 179 181 191 199 311 313 337 347 353
359 373 383 389
Found 34 reversable primes up to 500
</pre>
 
=={{header|MAD}}==
<syntaxhighlight lang="mad"> NORMAL MODE IS INTEGER
BOOLEAN PRIME
DIMENSION PRIME(1000)
VECTOR VALUES FMT = $I3*$
PRIME(0)=0B
PRIME(1)=0B
THROUGH INIT, FOR P=2, 1, P.GE.1000
INIT PRIME(P)=1B
 
THROUGH SIEVE, FOR P=2, 1, P.GE.32
THROUGH SIEVE, FOR C=P*P, P, C.GE.1000
SIEVE PRIME(C)=0B
THROUGH TEST, FOR N=2, 1, N.GE.500
WHENEVER .NOT. PRIME(N), TRANSFER TO TEST
NN=N
R=0
RVRSE WHENEVER NN.G.0
NXT=NN/10
R=R*10+NN-NXT*10
NN=NXT
TRANSFER TO RVRSE
END OF CONDITIONAL
WHENEVER .NOT. PRIME(R), TRANSFER TO TEST
PRINT FORMAT FMT,N
TEST CONTINUE
END OF PROGRAM</syntaxhighlight>
{{out}}
<pre style='height:50ex;'> 2
3
5
7
11
13
17
31
37
71
73
79
97
101
107
113
131
149
151
157
167
179
181
191
199
311
313
337
347
353
359
373
383
389</pre>
 
=={{header|Modula-2}}==
<syntaxhighlight lang="modula2">MODULE ReversePrime;
FROM InOut IMPORT WriteCard, WriteLn;
 
CONST
Primes = 1000;
Max = 500;
 
VAR prime: ARRAY [1..Primes] OF BOOLEAN;
n, col: CARDINAL;
 
PROCEDURE reverse(n: CARDINAL): CARDINAL;
VAR r: CARDINAL;
BEGIN
r := 0;
WHILE n > 0 DO
r := r*10 + n MOD 10;
n := n DIV 10;
END;
RETURN r;
END reverse;
 
PROCEDURE Sieve;
VAR i, j: CARDINAL;
BEGIN
prime[1] := FALSE;
FOR i := 2 TO Primes DO
prime[i] := TRUE;
END;
FOR i := 2 TO Primes DIV 2 DO
j := i*2;
WHILE j <= Primes DO
prime[j] := FALSE;
j := j + i;
END;
END;
END Sieve;
 
BEGIN
Sieve();
col := 0;
FOR n := 2 TO Max DO
IF prime[n] AND prime[reverse(n)] THEN
WriteCard(n,5);
col := col + 1;
IF col MOD 8 = 0 THEN
WriteLn();
END;
END;
END;
WriteLn();
END ReversePrime.</syntaxhighlight>
{{out}}
<pre> 2 3 5 7 11 13 17 31
37 71 73 79 97 101 107 113
131 149 151 157 167 179 181 191
199 311 313 337 347 353 359 373
383 389</pre>
 
=={{header|Nim}}==
 
<syntaxhighlight lang="nim">import math, strutils
 
const
N1 = 499 # Limit for the primes.
N2 = 999 # Limit for the reverses of primes.
 
# Sieve of Erathosthenes.
var composite: array[2..N2, bool] # Default is false.
for p in 2..sqrt(N2.toFloat).int:
if not composite[p]:
for k in countup(p * p, N2, p):
composite[k] = true
 
template isPrime(n: int): bool = not composite[n]
 
func reversed(n: int): int =
var n = n
while n != 0:
result = 10 * result + n mod 10
n = n div 10
 
var result: seq[int]
for n in 2..N1:
if n.isPrime and reversed(n).isPrime:
result.add n
 
for i, n in result:
stdout.write ($n).align(3)
stdout.write if (i + 1) mod 10 == 0: '\n' else: ' '
echo()</syntaxhighlight>
 
{{out}}
<pre> 2 3 5 7 11 13 17 31 37 71
73 79 97 101 107 113 131 149 151 157
167 179 181 191 199 311 313 337 347 353
359 373 383 389 </pre>
 
=={{header|OCaml}}==
Using the function <code>seq_primes</code> from [[Extensible prime generator#OCaml]]:
<syntaxhighlight lang="ocaml">let int_reverse =
let rec loop m n =
if n < 10 then m + n else loop ((m + n mod 10) * 10) (n / 10)
in loop 0
 
let is_prime n =
let not_divisible x = n mod x <> 0 in
seq_primes |> Seq.take_while (fun x -> x * x <= n) |> Seq.for_all not_divisible
 
let () =
seq_primes |> Seq.filter (fun p -> is_prime (int_reverse p))
|> Seq.take_while ((>) 500) |> Seq.iter (Printf.printf " %u") |> print_newline</syntaxhighlight>
{{out}}
<pre> 2 3 5 7 11 13 17 31 37 71 73 79 97 101 107 113 131 149 151 157 167 179 181 191 199 311 313 337 347 353 359 373 383 389</pre>
 
=={{header|Pascal}}==
==={{header|Free Pascal}}===
<syntaxhighlight lang="pascal">
Type Tboolarr = array Of boolean;
 
Const MAX = 1000;
Function SieveOfEratosthenes(limit: Integer): Tboolarr;
Var
sieve: Tboolarr;
i, j: Integer;
Begin
SetLength(sieve, limit + 1);
sieve[2] := True;
For i := 3 To limit Do
sieve[i] := (i Mod 2 <> 0);
For i := 3 To Trunc(Sqrt(limit)) Do
Begin
If sieve[i] Then
Begin
j := i * i;
While j <= limit Do
Begin
sieve[j] := False;
Inc(j, 2 * i);
End;
End;
End;
SieveOfEratosthenes := sieve;
End;
 
Function ReverseNumber(number: Integer): Integer;
Var
reversed: Integer;
Begin
reversed := 0;
While number <> 0 Do
Begin
reversed := reversed * 10 + (number Mod 10);
number := number Div 10;
End;
ReverseNumber := reversed;
End;
 
Var
primes: Tboolarr;
i: Integer;
Begin
primes := SieveOfEratosthenes(MAX);
For i := 2 To 500 Do
Begin
If primes[i] And Primes[ReverseNumber(i)] Then
Write(i,' ');
End;
End.
</syntaxhighlight>
{{out}}
<pre>
2 3 5 7 11 13 17 31 37 71 73 79 97 101 107 113 131 149 151 157 167 179 181 191 199 311 313 337 347 353 359 373 383 389
</pre>
 
=={{header|Perl}}==
{{libheader|ntheory}}
<syntaxhighlight lang="perl">use strict;
use warnings;
use List::Util 'max';
use ntheory 'is_prime';
 
sub pp {
my $format = ('%' . (my $cw = 1+length max @_) . 'd') x @_;
my $width = ".{@{[$cw * int 60/$cw]}}";
(sprintf($format, @_)) =~ s/($width)/$1\n/gr;
}
 
my($limit, @rp) = 500;
is_prime($_) and is_prime(reverse $_) and push @rp, $_ for 1..$limit;
print @rp . " reversible primes < $limit:\n" . pp(@rp);</syntaxhighlight>
{{out}}
<pre>34 reversible primes < 500:
2 3 5 7 11 13 17 31 37 71 73 79 97 101 107
113 131 149 151 157 167 179 181 191 199 311 313 337 347 353
359 373 383 389</pre>
 
=={{header|Phix}}==
<!--<syntaxhighlight lang="phix">(phixonline)-->
<lang Phix>function rp(integer p) return is_prime(to_integer(reverse(sprint(p)))) end function
<span style="color: #008080;">function</span> <span style="color: #000000;">rp</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: #7060A8;">to_integer</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">reverse</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">sprint</span><span style="color: #0000FF;">(</span><span style="color: #000000;">p</span><span style="color: #0000FF;">))))</span> <span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
procedure test(sequence args)
<span style="color: #008080;">procedure</span> <span style="color: #000000;">test</span><span style="color: #0000FF;">(</span><span style="color: #004080;">sequence</span> <span style="color: #000000;">args</span><span style="color: #0000FF;">)</span>
{integer n, string fmt} = args
<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: #004080;">string</span> <span style="color: #000000;">fmt</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">args</span>
sequence res = apply(true,sprintf,{{"%3d"},filter(get_primes_le(n),rp)})
<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: #004600;">true</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">sprintf</span><span style="color: #0000FF;">,{{</span><span style="color: #008000;">"%3d"</span><span style="color: #0000FF;">},</span><span style="color: #7060A8;">filter</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">get_primes_le</span><span style="color: #0000FF;">(</span><span style="color: #000000;">n</span><span style="color: #0000FF;">),</span><span style="color: #000000;">rp</span><span style="color: #0000FF;">)})</span>
string r = sprintf(fmt,{join_by(res,1,length(res)/2," ")})
<span style="color: #004080;">string</span> <span style="color: #000000;">r</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">sprintf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">fmt</span><span style="color: #0000FF;">,{</span><span style="color: #7060A8;">join_by</span><span style="color: #0000FF;">(</span><span style="color: #000000;">res</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">ceil</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;">2</span><span style="color: #0000FF;">),</span><span style="color: #008000;">" "</span><span style="color: #0000FF;">)})</span>
printf(1,"%d reverse primes < %,d found%s\n",{length(res),n,r})
<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 reverse primes &lt; %,d found%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: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">r</span><span style="color: #0000FF;">})</span>
end procedure
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
papply({{500,":\n%s"},{1000,":\n%s"},{10000,"."}},test)</lang>
<span style="color: #7060A8;">papply</span><span style="color: #0000FF;">({{</span><span style="color: #000000;">500</span><span style="color: #0000FF;">,</span><span style="color: #008000;">":\n%s"</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">1000</span><span style="color: #0000FF;">,</span><span style="color: #008000;">":\n%s"</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">10000</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"."</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">10_000_000</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"."</span><span style="color: #0000FF;">}},</span><span style="color: #000000;">test</span><span style="color: #0000FF;">)</span>
<!--</syntaxhighlight>-->
{{out}}
<pre>
Line 138 ⟶ 1,235:
 
260 reverse primes < 10,000 found.
82,439 reverse primes < 10,000,000 found.
</pre>
 
 
=={{header|Python}}==
<syntaxhighlight lang="python">#!/usr/bin/python
 
def isPrime(n):
for i in range(2, int(n**0.5) + 1):
if n % i == 0:
return False
return True
 
def isBackPrime(n):
if not isPrime(n):
return False
m = 0
while n:
m *= 10
m += n % 10
n //= 10
return isPrime(m)
 
if __name__ == '__main__':
for n in range(2, 499):
if isBackPrime(n):
print(n, end=' ');</syntaxhighlight>
{{out}}
<pre>2 3 5 7 11 13 17 31 37 71 73 79 97 101 107 113 131 149 151 157 167 179 181 191 199 311 313 337 347 353 359 373 383 389</pre>
 
 
=={{header|PILOT}}==
<syntaxhighlight lang="pilot">C :n=1
*number
C :p=n
U :*prime
J (pr=0):*next
U :*rev
C :p=r
U :*prime
T (pr):#n
*next
C :n=n+1
J (n<500):*number
E :
 
*rev
C :r=0
*digit
C :z=p/10
:r=r*10+(p-z*10)
:p=z
J (z):*digit
E :
 
*prime
C :pr=0
E (p=1):
C :pr=1
E (p<4):
C :pr=0
E (p=2*(p/2)):
C :i=3
*div
E (p=i*(p/i)):
C :i=i+2
J (i<p/2):*div
C :pr=1
E :</syntaxhighlight>
{{out}}
<pre style='height:50ex;'>2
3
5
7
11
13
17
31
37
71
73
79
97
101
107
113
131
149
151
157
167
179
181
191
199
311
313
337
347
353
359
373
383
389</pre>
 
=={{header|PL/I}}==
<syntaxhighlight lang="pli">reversePrimes: procedure options(main);
declare prime(1:999) bit;
sieve: procedure;
declare (i,j,hi) fixed;
hi = hbound(prime,1);
prime(1) = '0'b;
do i=2 to hi; prime(i) = '1'b; end;
do i=2 to sqrt(hi);
do j=i*i to hi by i; prime(j) = '0'b; end;
end;
end sieve;
reverse: procedure(nn) returns(fixed);
declare (n, nn, r) fixed;
r=0;
do n=nn repeat(n/10) while (n>0);
r = 10*r + mod(n,10);
end;
return(r);
end reverse;
declare (n, found) fixed;
call sieve;
found = 0;
do n=1 to 499;
if prime(n) & prime(reverse(n)) then do;
put edit(n) (F(4));
found = found + 1;
if mod(found,20) = 0 then put skip;
end;
end;
put skip list('Reverse primes found:',found);
end reversePrimes;</syntaxhighlight>
{{out}}
<pre> 2 3 5 7 11 13 17 31 37 71 73 79 97 101 107 113 131 149 151 157
167 179 181 191 199 311 313 337 347 353 359 373 383 389
Reverse primes found: 34</pre>
 
=={{header|PL/M}}==
{{works with|8080 PL/M Compiler}} ... under CP/M (or an emulator)
<syntaxhighlight lang="plm">
100H: /* FIND PRIMES THAT ARE STILL PRIME WHEN THEIR DIGITS ARE REVERSED */
 
/* CP/M BDOS SYSTEM CALL */
BDOS: PROCEDURE( FN, ARG ); DECLARE FN BYTE, ARG ADDRESS; GOTO 5; END;
/* I/O ROUTINES */
PR$CHAR: PROCEDURE( C ); DECLARE C BYTE; CALL BDOS( 2, C ); END;
PR$STRING: PROCEDURE( S ); DECLARE S ADDRESS; CALL BDOS( 9, S ); END;
PR$NL: PROCEDURE; CALL PR$CHAR( 0DH ); CALL PR$CHAR( 0AH ); END;
PR$NUMBER: PROCEDURE( N ); /* PRINTS A NUMBER IN THE MINIMUN FIELD WIDTH */
DECLARE N ADDRESS;
DECLARE V ADDRESS, N$STR ( 6 )BYTE, W BYTE;
V = N;
W = LAST( N$STR );
N$STR( W ) = '$';
N$STR( W := W - 1 ) = '0' + ( V MOD 10 );
DO WHILE( ( V := V / 10 ) > 0 );
N$STR( W := W - 1 ) = '0' + ( V MOD 10 );
END;
CALL PR$STRING( .N$STR( W ) );
END PR$NUMBER;
 
/* RETURNS TRUE IF N IS PRIME, FALSE OTHERWISE, USES TRIAL DIVISION */
IS$PRIME: PROCEDURE( N )BYTE;
DECLARE N ADDRESS;
DECLARE PRIME BYTE;
IF N < 3 THEN PRIME = N = 2;
ELSE IF N MOD 3 = 0 THEN PRIME = N = 3;
ELSE IF N MOD 2 = 0 THEN PRIME = 0;
ELSE DO;
DECLARE ( F, F2, TO$NEXT ) ADDRESS;
PRIME = 1;
F = 5;
F2 = 25;
TO$NEXT = 24; /* NOTE: ( 2N + 1 )^2 - ( 2N - 1 )^2 = 8N */
DO WHILE F2 <= N AND PRIME;
PRIME = N MOD F <> 0;
F = F + 2;
F2 = F2 + TO$NEXT;
TO$NEXT = TO$NEXT + 8;
END;
END;
RETURN PRIME;
END IS$PRIME;
 
REVERSE: PROCEDURE( N )ADDRESS; /* RETURNS THE REVERSED DIGITS OF N */
DECLARE N ADDRESS;
DECLARE ( R, V ) ADDRESS;
V = N;
R = V MOD 10;
DO WHILE( ( V := V / 10 ) > 0 );
R = ( R * 10 ) + ( V MOD 10 );
END;
RETURN R;
END REVERSE ;
 
/* FIND THE NUMBERS UP TO 500 */
 
DECLARE ( I, COUNT ) ADDRESS;
 
COUNT = 0;
DO I = 1 TO 500;
IF IS$PRIME( I ) THEN DO;
IF IS$PRIME( REVERSE( I ) ) THEN DO;
IF I < 10 THEN CALL PR$CHAR( ' ' );
IF I < 100 THEN CALL PR$CHAR( ' ' );
CALL PR$NUMBER( I );
IF ( COUNT := COUNT + 1 ) MOD 20 = 0 THEN CALL PR$NL;
ELSE CALL PR$CHAR( ' ' );
END;
END;
END;
 
EOF
</syntaxhighlight>
{{out}}
<pre>
2 3 5 7 11 13 17 31 37 71 73 79 97 101 107 113 131 149 151 157
167 179 181 191 199 311 313 337 347 353 359 373 383 389
</pre>
 
=={{header|Quackery}}==
 
<code>eratosthenes</code> and <code>isprime</code> are defined at [[Sieve of Eratosthenes#Quackery]].
 
<syntaxhighlight lang="quackery"> 1000 eratosthenes
 
[ number$ reverse $->n drop ] is revnum ( n --> n )
 
[ dup isprime iff
[ revnum isprime ]
else [ drop false ] ] is isrevprime ( n --> b )
 
[] [] 500 times
[ i^ isrevprime if
[ i^ join ] ]
witheach [ number$ nested join ]
60 wrap$</syntaxhighlight>
 
{{out}}
 
<pre>2 3 5 7 11 13 17 31 37 71 73 79 97 101 107 113 131 149 151
157 167 179 181 191 199 311 313 337 347 353 359 373 383 389
</pre>
 
=={{header|Raku}}==
<syntaxhighlight lang="raku" perl6line>unit sub MAIN ($limit = 500);
say "{+$_} reversible primes < $limit:\n{$_».fmt("%" ~ $limit.chars ~ "d").batch(10).join("\n")}",
with ^$limit .grep: { .is-prime and .flip.is-prime }</langsyntaxhighlight>
{{out}}
<pre>34 reversible primes < 500:
Line 152 ⟶ 1,500:
 
=={{header|REXX}}==
<langsyntaxhighlight lang="rexx">/*REXX program counts/displays the number of reversed primes under a specified number N.*/
parse arg n cols . /*get optional number of primes to find*/
if n=='' | n=="," then n= 500 /*Not specified? Then assume default.*/
Line 191 ⟶ 1,539:
#= # + 1; @.#= j; !.j= 1 /*bump prime count; assign prime & flag*/
end /*j*/
return</langsyntaxhighlight>
{{out|output|text=&nbsp; when using the default inputs:}}
<pre>
Line 210 ⟶ 1,558:
 
=={{header|Ring}}==
<langsyntaxhighlight lang="ring">
load "stdlib.ring"
 
Line 238 ⟶ 1,586:
see nl + "found " + num + " primes" + nl
see "done..." + nl
</syntaxhighlight>
</lang>
{{out}}
<pre>
Line 248 ⟶ 1,596:
found 34 primes
done...
</pre>
 
=={{header|RPL}}==
This program uses the words <code>RVSTR</code> and <code>BPRIM?</code>, respectively made to [[Reverse_a_string#RPL|revert a string]] and to [[Primality_by_trial_division#RPL|test primality by trial division]]
≪ { } 1 499 '''FOR''' n
'''IF''' n R→B '<span style="color:blue">BPRIM?</span> THEN'''
'''IF''' n →STR <span style="color:blue">RVSTR</span> STR→ R→B <span style="color:blue">BPRIM?</span> '''THEN''' n + '''END'''
'''END'''
'''NEXT'''
≫ '<span style="color:blue">TASK</span>' STO
 
====Straightforward approach====
Numbers are here reversed without any string conversion.
{{works with|HP|49}}
« { }
1 499 '''FOR''' n
'''IF''' n ISPRIME? '''THEN'''
n 0
'''WHILE''' OVER '''REPEAT'''
SWAP 10 IDIV2 ROT 10 * +
'''END''' NIP
'''IF''' ISPRIME? '''THEN''' n + '''END'''
'''END'''
'''NEXT'''
» '<span style="color:blue">TASK</span>' STO
{{out}}
<pre>
1: { 2 3 5 7 11 13 17 31 37 71 73 79 97 101 107 113 131 149 151 157 167 179 181 191 199 311 313 337 347 353 359 373 383 389 }
</pre>
 
=={{header|Ruby}}==
<syntaxhighlight lang="Ruby">p Prime.each(500).select{|pr| pr.digits.join.to_i.prime? }
</syntaxhighlight>
{{out}}
<pre>
[2, 3, 5, 7, 11, 13, 17, 31, 37, 71, 73, 79, 97, 101, 107, 113, 131, 149, 151, 157, 167, 179, 181, 191, 199, 311, 313, 337, 347, 353, 359, 373, 383, 389]
</pre>
=={{header|Rust}}==
<syntaxhighlight lang="Rust">
use prime_tools ;
 
fn myreverse( n : u32 ) -> u32 {
let forward : String = n.to_string( ) ;
let numberstring = &forward[..] ;
let mut reversed : String = String::new( ) ;
for c in numberstring.chars( ).rev( ) {
reversed.push( c ) ;
}
*&reversed[..].parse::<u32>( ).unwrap( )
}
 
fn main() {
let mut reversible_primes : Vec<u32> = Vec::new( ) ;
for num in 2..=500 {
if prime_tools::is_u32_prime( num ) && prime_tools::is_u32_prime(
myreverse( num )) {
reversible_primes.push( num ) ;
}
}
println!("{:?}" , reversible_primes ) ;
}</syntaxhighlight>
{{out}}
<pre>
[2, 3, 5, 7, 11, 13, 17, 31, 37, 71, 73, 79, 97, 101, 107, 113, 131, 149, 151, 157, 167, 179, 181, 191, 199, 311, 313, 337, 347, 353, 359, 373, 383, 389]
</pre>
 
=={{header|Seed7}}==
<syntaxhighlight lang="seed7">$ include "seed7_05.s7i";
 
const func boolean: isPrime (in integer: number) is func
result
var boolean: prime is FALSE;
local
var integer: upTo is 0;
var integer: testNum is 3;
begin
if number = 2 then
prime := TRUE;
elsif odd(number) and number > 2 then
upTo := sqrt(number);
while number rem testNum <> 0 and testNum <= upTo do
testNum +:= 2;
end while;
prime := testNum > upTo;
end if;
end func;
 
const func integer: revDigits (in var integer: number) is func
result
var integer: revNum is 0;
begin
while number > 0 do
revNum *:= 10;
revNum +:= number rem 10;
number := number div 10;
end while;
end func;
const func boolean: isRevPrime (in integer: number) is
return isPrime(number) and isPrime(revDigits(number));
 
const proc: main is func
local
var integer: number is 0;
var integer: count is 0;
begin
for number range 1 to 499 do
if isRevPrime(number) then
write(number <& " ");
incr(count);
end if;
end for;
writeln;
writeln("Found " <& count <& " reverse primes < 500.");
end func;</syntaxhighlight>
{{out}}
<pre>
2 3 5 7 11 13 17 31 37 71 73 79 97 101 107 113 131 149 151 157 167 179 181 191 199 311 313 337 347 353 359 373 383 389
Found 34 reverse primes < 500.
</pre>
 
=={{header|Sidef}}==
<syntaxhighlight lang="ruby">say primes(500).grep { .reverse.is_prime }</syntaxhighlight>
{{out}}
<pre>
[2, 3, 5, 7, 11, 13, 17, 31, 37, 71, 73, 79, 97, 101, 107, 113, 131, 149, 151, 157, 167, 179, 181, 191, 199, 311, 313, 337, 347, 353, 359, 373, 383, 389]
</pre>
 
Line 253 ⟶ 1,727:
{{libheader|Wren-math}}
{{libheader|Wren-fmt}}
<syntaxhighlight lang="wren">import "./math" for Int
{{libheader|Wren-seq}}
<lang ecmascript>import "./mathfmt" for IntFmt
import "/fmt" for Fmt
import "/seq" for Lst
 
var reversed = Fn.new { |n|
Line 273 ⟶ 1,745:
}
System.print("Primes under 500 which are also primes when the digits are reversed:")
Fmt.tprint("$3d", reversedPrimes, 17)
for (chunk in Lst.chunks(reversedPrimes, 17)) Fmt.print("$3d", chunk)
System.print("\n%(reversedPrimes.count) such primes found.")</langsyntaxhighlight>
 
{{out}}
Line 283 ⟶ 1,755:
 
34 such primes found.
</pre>
 
=={{header|XPL0}}==
<syntaxhighlight lang="xpl0">func IsPrime(N); \Return 'true' if N is a prime number
int N, I;
[if N <= 1 then return false;
for I:= 2 to sqrt(N) do
if rem(N/I) = 0 then return false;
return true;
];
 
func Reverse(N); \Return the reverse of the digits in N
int N, M;
[M:= 0;
while N do
[N:= N/10;
M:= M*10 + rem(0);
];
return M;
];
 
int Count, N;
[Count:= 0;
for N:= 1 to 499 do
[if IsPrime(N) & IsPrime(Reverse(N)) then
[IntOut(0, N);
Count:= Count+1;
if rem(Count/10) = 0 then CrLf(0) else ChOut(0, 9\tab\);
]
];
CrLf(0);
IntOut(0, Count);
Text(0, " reversible primes found.");
]</syntaxhighlight>
 
{{out}}
<pre>
2 3 5 7 11 13 17 31 37 71
73 79 97 101 107 113 131 149 151 157
167 179 181 191 199 311 313 337 347 353
359 373 383 389
34 reversible primes found.
</pre>
2,046

edits