Numbers with prime digits whose sum is 13: Difference between revisions

Content added Content deleted
(→‎AWK: →‎bc: →‎OCaml: →‎Python: some simplification)
No edit summary
Line 537: Line 537:
{ 337, 355, 373, 535, 553, 733, 2227, 2272, 2335, 2353, 2533, 2722, 3235, 3253, 3325, 3352, 3523, 3532, 5233, 5323, 5332, 7222, 22225, 22252, 22333, 22522, 23233, 23323, 23332, 25222, 32233, 32323, 32332, 33223, 33232, 33322, 52222, 222223, 222232, 222322, 223222, 232222, 322222 }
{ 337, 355, 373, 535, 553, 733, 2227, 2272, 2335, 2353, 2533, 2722, 3235, 3253, 3325, 3352, 3523, 3532, 5233, 5323, 5332, 7222, 22225, 22252, 22333, 22522, 23233, 23323, 23332, 25222, 32233, 32323, 32332, 33223, 33232, 33322, 52222, 222223, 222232, 222322, 223222, 232222, 322222 }
</pre>
</pre>

=={{header|Delphi}}==
{{works with|Delphi|6.0}}
{{libheader|SysUtils,StdCtrls}}


<syntaxhighlight lang="Delphi">



function IsPrime(N: int64): boolean;
{Fast, optimised prime test}
var I,Stop: int64;
begin
if (N = 2) or (N=3) then Result:=true
else if (n <= 1) or ((n mod 2) = 0) or ((n mod 3) = 0) then Result:= false
else
begin
I:=5;
Stop:=Trunc(sqrt(N+0.0));
Result:=False;
while I<=Stop do
begin
if ((N mod I) = 0) or ((N mod (I + 2)) = 0) then exit;
Inc(I,6);
end;
Result:=True;
end;
end;


procedure GetDigits(N: integer; var IA: TIntegerDynArray);
{Get an array of the integers in a number}
var T: integer;
begin
SetLength(IA,0);
repeat
begin
T:=N mod 10;
N:=N div 10;
SetLength(IA,Length(IA)+1);
IA[High(IA)]:=T;
end
until N<1;
end;


function IsPrimeDigitSum13(N: integer): boolean;
{Return true N's digits are prime and total 13}
var IA: TIntegerDynArray;
var I,Sum: integer;
begin
Result:=False;
GetDigits(N,IA);
for I:=0 to High(IA) do
if not IsPrime(IA[I]) then exit;
Sum:=0;
for I:=0 to High(IA) do Sum:=Sum+IA[I];
Result:=Sum=13;
end;

procedure ShowPrimeDigitSum13(Memo: TMemo);
{Show numbers whose digits are prime and total 13}
var I,Cnt: integer;
var S: string;
begin
Cnt:=0;
for I:=1 to 999999 do
if IsPrimeDigitSum13(I) then
begin
Inc(Cnt);
S:=S+Format('%8D',[I]);
If (Cnt mod 5)=0 then S:=S+#$0D#$0A;
end;
Memo.Lines.Add(S);
end;

</syntaxhighlight>
{{out}}
<pre>
337 355 373 535 553
733 2227 2272 2335 2353
2533 2722 3235 3253 3325
3352 3523 3532 5233 5323
5332 7222 22225 22252 22333
22522 23233 23323 23332 25222
32233 32323 32332 33223 33232
33322 52222 222223 222232 222322
223222 232222 322222
Elapsed Time: 627.207 ms.

</pre>


===F# translation===
===F# translation===
The following is based on Nigel Galloway's algorithm as described [http://rosettacode.org/wiki/Talk:Numbers_with_prime_digits_whose_sum_is_13#Nice_recursive_solution here] on the talk page. It's about 10x faster than the previous method.
The following is based on Nigel Galloway's algorithm as described [http://rosettacode.org/wiki/Talk:Numbers_with_prime_digits_whose_sum_is_13#Nice_recursive_solution here] on the talk page. It's about 10x faster than the previous method.
Retrieved from "https://rosettacode.org/wiki/Numbers_with_prime_digits_whose_sum_is_13"