Frobenius numbers: Difference between revisions
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Line 3:
;Task:
Find and display here on this page the Frobenius numbers that are <big> < </big> 10,000.
The series is defined by:
<big> FrobeniusNumber(n) = prime(n) * prime(n+1) - prime(n) - prime(n+1)</big>
:::: prime(1) = 2
:::: prime(2) = 3
:::: prime(3) = 5
:::: prime(4) = 7
::::: •
::::: •
::::: •
</big>
<br><br>
=={{header|11l}}==
{{trans|Python}}
<syntaxhighlight lang="11l">F isPrime(v)
I v <= 1
R 0B
I v < 4
R 1B
I v % 2 == 0
R 0B
I v < 9
R 1B
I v % 3 == 0
R 0B
E
V r = round(pow(v, 0.5))
V f = 5
L f <= r
I v % f == 0 | v % (f + 2) == 0
R 0B
f += 6
R 1B
V pn = 2
V n = 0
L(i) (3..).step(2)
I isPrime(i)
n++
V f = (pn * i) - pn - i
I f > 10000
L.break
print(n‘ => ’f)
pn = i</syntaxhighlight>
{{out}}
<pre>
1 => 1
2 => 7
3 => 23
4 => 59
5 => 119
6 => 191
7 => 287
8 => 395
9 => 615
10 => 839
11 => 1079
12 => 1439
13 => 1679
14 => 1931
15 => 2391
16 => 3015
17 => 3479
18 => 3959
19 => 4619
20 => 5039
21 => 5615
22 => 6395
23 => 7215
24 => 8447
25 => 9599
</pre>
=={{header|Action!}}==
{{libheader|Action! Sieve of Eratosthenes}}
<syntaxhighlight lang="action!">INCLUDE "H6:SIEVE.ACT"
INT FUNC NextPrime(INT p BYTE ARRAY primes)
DO
p==+1
UNTIL primes(p)
OD
RETURN (p)
PROC Main()
DEFINE MAXNUM="200"
BYTE ARRAY primes(MAXNUM+1)
INT p1,p2,f
Put(125) PutE() ;clear the screen
Sieve(primes,MAXNUM+1)
p2=2
DO
p1=p2
p2=NextPrime(p2,primes)
f=p1*p2-p1-p2
IF f<10000 THEN
PrintI(f) Put(32)
ELSE
EXIT
FI
OD
RETURN</syntaxhighlight>
{{out}}
[https://gitlab.com/amarok8bit/action-rosetta-code/-/raw/master/images/Frobenius_numbers.png Screenshot from Atari 8-bit computer]
<pre>
1 7 23 59 119 191 287 395 615 839 1079 1439 1679 1931 2391 3015 3479 3959 4619 5039 5615 6395 7215 8447 9599
</pre>
=={{header|ALGOL 68}}==
<
# Frobenius(n) = ( prime(n) * prime(n+1) ) - prime(n) - prime(n+1) #
# reurns a list of primes up to n #
Line 46 ⟶ 150:
print( ( " ", whole( frobenius number, 0 ) ) )
OD
END</
{{out}}
<pre>
1 7 23 59 119 191 287 395 615 839 1079 1439 1679 1931 2391 3015 3479 3959 4619 5039 5615 6395 7215 8447 9599
</pre>
=={{header|APL}}==
{{works with|Dyalog APL}}
<
{{out}}
<pre>1 7 23 59 119 191 287 395 615 839 1079 1439 1679 1931 2391 3015 3479 3959 4619 5039 5615 6395 7215 8447 9599</pre>
=={{header|AppleScript}}==
<
if (n < 4) then return (n > 1)
if ((n mod 2 is 0) or (n mod 3 is 0)) then return false
Line 88 ⟶ 193:
end Frobenii
Frobenii(9999)</
{{output}}
<
=={{header|Arturo}}==
<syntaxhighlight lang="rebol">primes: select 0..10000 => prime?
frobenius: function [n] -> sub sub primes\[n] * primes\[n+1] primes\[n] primes\[n+1]
Line 107 ⟶ 211:
loop split.every:10 chop lst 'a ->
print map a => [pad to :string & 5]</
{{out}}
Line 114 ⟶ 218:
1079 1439 1679 1931 2391 3015 3479 3959 4619 5039
5615 6395 7215 8447 9599</pre>
=={{header|AutoHotkey}}==
<syntaxhighlight lang="autohotkey">n := 0, i := 1, pn := 2
loop {
if isprime(i+=2) {
if ((f := pn*i - pn - i) > 10000)
break
result .= SubStr(" " f, -3) . (Mod(++n, 5) ? "`t" : "`n")
pn := i
}
}
MsgBox % result
return
isPrime(n, p=1) {
if (n < 2)
return false
if !Mod(n, 2)
return (n = 2)
if !Mod(n, 3)
return (n = 3)
while ((p+=4) <= Sqrt(n))
if !Mod(n, p)
return false
else if !Mod(n, p+=2)
return false
return true
}</syntaxhighlight>
{{out}}
<pre> 1 7 23 59 119
191 287 395 615 839
1079 1439 1679 1931 2391
3015 3479 3959 4619 5039
5615 6395 7215 8447 9599</pre>
=={{header|AWK}}==
<syntaxhighlight lang="awk">
# syntax: GAWK -f FROBENIUS_NUMBERS.AWK
# converted from FreeBASIC
Line 145 ⟶ 283:
return(1)
}
</syntaxhighlight>
{{out}}
<pre>
Line 155 ⟶ 293:
=={{header|BASIC}}==
<
20 LM = 10000
30 M = SQR(LM)+1
Line 167 ⟶ 305:
110 FOR N=0 TO C-2
120 PRINT P(N)*P(N+1)-P(N)-P(N+1),
130 NEXT N</
{{out}}
<pre> 1 7 23 59 119
Line 174 ⟶ 312:
3015 3479 3959 4619 5039
5615 6395 7215 8447 9599</pre>
=={{header|BASIC256}}==
<syntaxhighlight lang="basic256">
n = 0
lim = 10000
k = sqr(lim) + 1
dim P(k)
for i = 2 to sqr(k)
if P[i] = 0 then
for j = i + i to k step i
P[j] = 1
next j
end if
next i
for i = 2 to k-1
if P[i] = 0 then P[n] = i: n += 1
next i
for i = 0 to n - 2
print i+1; " => "; P[i] * P[i + 1] - P[i] - P[i + 1]
next i
end
</syntaxhighlight>
=={{header|BCPL}}==
<
manifest $( limit = 10000 $)
Line 229 ⟶ 391:
writef("%N*N", frob(primes, n))
freevec(primes)
$)</
{{out}}
<pre>1
Line 258 ⟶ 420:
=={{header|C}}==
<
#include <stdlib.h>
#include <math.h>
Line 295 ⟶ 457:
return 0;
}</
{{out}}
<pre>1
Line 323 ⟶ 485:
9599</pre>
=={{header|C
Asterisks mark the non-primes among the numbers.
<
class Program {
Line 347 ⟶ 509:
if (!flags[j]) { yield return j;
for (int k = sq, i = j << 1; k <= lim; k += i) flags[k] = true; }
for (; j <= lim; j += 2) if (!flags[j]) yield return j; } }</
{{out}}
Line 372 ⟶ 534:
=={{header|C++}}==
{{libheader|Primesieve}}
<
#include <iomanip>
#include <iostream>
Line 411 ⟶ 573:
}
std::cout << '\n';
}</
{{out}}
Line 436 ⟶ 598:
=={{header|Cowgol}}==
<
const LIMIT := 10000;
Line 490 ⟶ 652:
print_nl();
n := n + 1;
end loop;</
{{out}}
<pre>1
Line 517 ⟶ 679:
8447
9599</pre>
=={{header|Delphi}}==
{{works with|Delphi|6.0}}
{{libheader|SysUtils,StdCtrls}}
<syntaxhighlight lang="Delphi">
function IsPrime(N: integer): boolean;
{Optimised prime test - about 40% faster than the naive approach}
var I,Stop: integer;
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));
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;
function GetNextPrime(Start: integer): integer;
{Get the next prime number after Start}
begin
repeat Inc(Start)
until IsPrime(Start);
Result:=Start;
end;
procedure ShowFrobeniusNumbers(Memo: TMemo);
var N,N1,FN,Cnt: integer;
begin
N:=2;
Cnt:=0;
while true do
begin
Inc(Cnt);
N1:=GetNextPrime(N);
FN:=N * N1 - N - N1;
N:=N1;
if FN>10000 then break;
Memo.Lines.Add(Format('%2d = %5d',[Cnt,FN]));
end;
end;
</syntaxhighlight>
{{out}}
<pre>
1 = 1
2 = 7
3 = 23
4 = 59
5 = 119
6 = 191
7 = 287
8 = 395
9 = 615
10 = 839
11 = 1079
12 = 1439
13 = 1679
14 = 1931
15 = 2391
16 = 3015
17 = 3479
18 = 3959
19 = 4619
20 = 5039
21 = 5615
22 = 6395
23 = 7215
24 = 8447
25 = 9599
</pre>
=={{header|EasyLang}}==
<syntaxhighlight>
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
repeat
prim0 = prim
prim = nextprim prim
x = prim0 * prim - prim0 - prim
until x >= 10000
write x & " "
.
</syntaxhighlight>
{{out}}
<pre>
1 7 23 59 119 191 287 395 615 839 1079 1439 1679 1931 2391 3015 3479 3959 4619 5039 5615 6395 7215 8447 9599
</pre>
=={{header|Factor}}==
{{works with|Factor|0.99 2021-02-05}}
<
"Frobenius numbers < 10,000:" print
Line 526 ⟶ 805:
[ nip dup next-prime ] [ * ] [ [ - ] dip - ] 2tri
dup 10,000 <
] [ . ] while 3drop</
{{out}}
<pre style="height:14em">
Line 558 ⟶ 837:
=={{header|Fermat}}==
<
for n = 1 to 25 do !!Frobenius(n) od</
{{out}}
<pre>
Line 590 ⟶ 869:
=={{header|FreeBASIC}}==
<
dim as integer pn=2, n=0, f
Line 601 ⟶ 880:
pn = i
end if
next i</
{{out}}
<pre>
Line 630 ⟶ 909:
25 9599
</pre>
=={{header|FutureBasic}}==
<syntaxhighlight lang="futurebasic">
include "NSLog.incl"
local fn IsPrime( n as long ) as BOOL
long i
BOOL result = YES
if ( n < 2 ) then result = NO : exit fn
for i = 2 to n + 1
if ( i * i <= n ) and ( n mod i == 0 )
result = NO : exit fn
end if
next
end fn = result
void local fn ListFrobenius( upperLimit as long )
long i, pn = 2, n = 0, f, r = 0
NSLog( @"Frobenius numbers through %ld:", upperLimit )
for i = 3 to upperLimit - 1 step 2
if ( fn IsPrime(i) )
n++
f = pn * i - pn - i
if ( f > upperLimit ) then break
NSLog( @"%7ld\b", f )
r++
if r mod 5 == 0 then NSLog( @"" )
pn = i
end if
next
end fn
fn ListFrobenius( 100000 )
HandleEvents
</syntaxhighlight>
{{output}}
<pre>
Frobenius numbers through 100000:
1 7 23 59 119
191 287 395 615 839
1079 1439 1679 1931 2391
3015 3479 3959 4619 5039
5615 6395 7215 8447 9599
10199 10811 11447 12095 14111
16379 17679 18767 20423 22199
23399 25271 26891 28551 30615
32039 34199 36479 37631 38807
41579 46619 50171 51527 52895
55215 57119 59999 63999 67071
70215 72359 74519 77279 78959
82343 89351 94859 96719 98591
</pre>
=={{header|Go}}==
{{trans|Wren}}
{{libheader|Go-rcu}}
<
import (
Line 659 ⟶ 995:
}
fmt.Printf("\n\n%d such numbers found.\n", len(frobenius))
}</
{{out}}
Line 670 ⟶ 1,006:
25 such numbers found.
</pre>
=={{header|Haskell}}==
<syntaxhighlight lang="haskell">primes = 2 : sieve [3,5..]
where sieve (x:xs) = x : sieve (filter (\y -> y `mod` x /= 0) xs)
frobenius = zipWith (\a b -> a*b - a - b) primes (tail primes)</syntaxhighlight>
<pre>λ> takeWhile (< 10000) frobenius
[1,7,23,59,119,191,287,395,615,839,1079,1439,1679,1931,2391,3015,3479,3959,4619,5039,5615,6395,7215,8447,9599]</pre>
=={{header|J}}==
<syntaxhighlight lang
echo frob i. 25</
(Note that <code>frob</code> counts prime numbers starting from 0 (which gives 2), so for some contexts the function to calculate frobenius numbers would be <code>frob@<:</code>.)
{{out}}
<pre>1 7 23 59 119 191 287 395 615 839 1079 1439 1679 1931 2391 3015 3479 3959 4619 5039 5615 6395 7215 8447 9599</pre>
Line 679 ⟶ 1,027:
=={{header|Java}}==
Uses the PrimeGenerator class from [[Extensible prime generator#Java]].
<
public static void main(String[] args) {
final int limit = 1000000;
Line 714 ⟶ 1,062:
return true;
}
}</
{{out}}
Line 736 ⟶ 1,084:
770879 776159* 781451 802715 824459* 835379* 851903 868607 879839* 889239
900591 919631* 937019 946719 958431 972179 986039
</pre>
=={{header|jq}}==
{{works with|jq}}
'''Works with gojq, the Go implementation of jq'''
The solution offered here is based on a function that can in principle generate an unbounded stream of Frobenius numbers without relying on the precomputation or storage of an array of primes except as may be used by `is_prime`.
The following is also designed to take advantage of gojq's support for unbounded-precision integer arithmetic.
See e.g. [[Erd%C5%91s-primes#jq]] for a suitable implementation of `is_prime`.
<syntaxhighlight lang="jq"># Generate a stream of Frobenius numbers up to an including `.`;
# specify `null` or `infinite` to generate an unbounded stream.
def frobenius:
. as $limit
| label $out
| foreach (range(3;infinite;2) | select(is_prime)) as $p ({prev: 2};
(.prev * $p - .prev - $p) as $frob
| if ($limit != null and $frob > $limit then break $out
else .frob = $frob
end
| .prev = $p;
.frob);
9999 | frobenius</syntaxhighlight>
{{out}}
<pre>
1
7
23
59
119
191
287
395
615
839
1079
1439
1679
1931
2391
3015
3479
3959
4619
5039
5615
6395
7215
8447
9599
</pre>
=={{header|Julia}}==
<
const primeslt10k = primes(10000)
Line 763 ⟶ 1,163:
testfrobenius()
</
<pre>
Frobenius numbers less than 1,000,000 (an asterisk marks the prime ones).
Line 784 ⟶ 1,184:
900591 919631* 937019 946719 958431 972179 986039
</pre>
=={{header|Mathematica}}/{{header|Wolfram Language}}==
<syntaxhighlight lang="mathematica">ClearAll[fn]
fn[n_] := Prime[n] Prime[n + 1] - Prime[n] - Prime[n + 1]
a = -1;
i = 1;
res = {};
While[a < 10^4,
a = fn[i];
i++;
If[a < 10^4, AppendTo[res, a]]
]
res</syntaxhighlight>
{{out}}
<pre>{1,7,23,59,119,191,287,395,615,839,1079,1439,1679,1931,2391,3015,3479,3959,4619,5039,5615,6395,7215,8447,9599}</pre>
=={{header|Nim}}==
As I like iterators, I used one for (odd) primes and one for Frobenius numbers. Of course, there are other ways to proceed.
<
func isOddPrime(n: Positive): bool =
Line 819 ⟶ 1,234:
var result = toSeq(frobenius(10_000))
echo "Found $1 Frobenius numbers less than $2:".format(result.len, N)
echo result.join(" ")</
{{out}}
Line 827 ⟶ 1,242:
=={{header|Perl}}==
{{libheader|ntheory}}
<
use warnings;
use feature 'say';
Line 840 ⟶ 1,255:
# process a list with a 2-wide sliding window
my $limit = 10_000;
say "\n" . join ' ', grep { $_ < $limit } slide { $a * $b - $a - $b } @{primes($limit)};</
{{out}}
<pre>25 matching numbers:
Line 848 ⟶ 1,263:
=={{header|Phix}}==
<!--<
<span style="color: #008080;">for</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">=</span><span style="color: #000000;">4</span> <span style="color: #008080;">to</span> <span style="color: #000000;">6</span> <span style="color: #008080;">by</span> <span style="color: #000000;">2</span> <span style="color: #008080;">do</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">lim</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">power</span><span style="color: #0000FF;">(</span><span style="color: #000000;">10</span><span style="color: #0000FF;">,</span><span style="color: #000000;">n</span><span style="color: #0000FF;">),</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span>
Line 864 ⟶ 1,279:
<span style="color: #0000FF;">{</span><span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">frob</span><span style="color: #0000FF;">),</span><span style="color: #000000;">lim</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;">frob</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: #008080;">end</span> <span style="color: #008080;">for</span>
<!--</
{{out}}
<pre>
Line 870 ⟶ 1,285:
167 Frobenius numbers under 1,000,000: 1, 7, 23, 59, 119, ..., 937019, 946719, 958431, 972179, 986039
</pre>
=={{header|Python}}==
<syntaxhighlight lang="python">
#!/usr/bin/python
def isPrime(v):
if v <= 1:
return False
if v < 4:
return True
if v % 2 == 0:
return False
if v < 9:
return True
if v % 3 == 0:
return False
else:
r = round(pow(v,0.5))
f = 5
while f <= r:
if v % f == 0 or v % (f + 2) == 0:
return False
f += 6
return True
pn = 2
n = 0
for i in range(3, 9999, 2):
if isPrime(i):
n += 1
f = (pn * i) - pn - i
if f > 10000:
break
print (n, ' => ', f)
pn = i
</syntaxhighlight>
=={{header|PL/M}}==
<
BDOS: PROCEDURE (FN, ARG); DECLARE FN BYTE, ARG ADDRESS; GO TO 5; END BDOS;
EXIT: PROCEDURE; CALL BDOS(0,0); END EXIT;
Line 945 ⟶ 1,397:
END;
CALL EXIT;
EOF</
{{out}}
<pre>1
Line 972 ⟶ 1,424:
8447
9599</pre>
=={{header|PureBasic}}==
<syntaxhighlight lang="purebasic">
Procedure isPrime(v.i)
If v < = 1 : ProcedureReturn #False
ElseIf v < 4 : ProcedureReturn #True
ElseIf v % 2 = 0 : ProcedureReturn #False
ElseIf v < 9 : ProcedureReturn #True
ElseIf v % 3 = 0 : ProcedureReturn #False
Else
Protected r = Round(Sqr(v), #PB_Round_Down)
Protected f = 5
While f <= r
If v % f = 0 Or v % (f + 2) = 0
ProcedureReturn #False
EndIf
f + 6
Wend
EndIf
ProcedureReturn #True
EndProcedure
OpenConsole()
pn.i = 2
n.i = 0
For i.i = 3 To 9999 Step 2
If isPrime(i)
n + 1
f.i = pn * i - pn - i
If f > 10000
Break
EndIf
Print(Str(n) + " => " + Str(f) + #CRLF$)
pn = i
EndIf
Next i
Input()
CloseConsole()
End
</syntaxhighlight>
{{out}}
<pre>
1 => 1
2 => 7
3 => 23
4 => 59
5 => 119
6 => 191
7 => 287
8 => 395
9 => 615
10 => 839
11 => 1079
12 => 1439
13 => 1679
14 => 1931
15 => 2391
16 => 3015
17 => 3479
18 => 3959
19 => 4619
20 => 5039
21 => 5615
22 => 6395
23 => 7215
24 => 8447
25 => 9599
</pre>
=={{header|Quackery}}==
<code>eratosthenes</code> and <code>isprime</code> are defined at [[Sieve of Eratosthenes#Quackery]].
In this solution the primes and Frobenius numbers are zero indexed rather than one indexed as per the task. It simplifies the code a smidgeon, as Quackery nests are zero indexed.
<syntaxhighlight lang="Quackery"> 200 eratosthenes
[ [ [] 200 times
[ i^ isprime if
[ i^ join ] ] ]
constant
swap peek ] is prime ( n --> n )
[ dup prime
swap 1+ prime
2dup * rot - swap - ] is frobenius ( n --> n )
[] 0
[ tuck frobenius dup
10000 < while
join swap
1+ again ]
drop nip echo </syntaxhighlight>
{{out}}
<pre>[ 1 7 23 59 119 191 287 395 615 839 1079 1439 1679 1931 2391 3015 3479 3959 4619 5039 5615 6395 7215 8447 9599 ]</pre>
=={{header|Raku}}==
<syntaxhighlight lang="raku"
given (^1000).grep( *.is-prime ).rotor(2 => -1)
.map( { (.[0] * .[1] - .[0] - .[1]) } ).grep(* < 10000);</
{{out}}
<pre>25 matching numbers
Line 984 ⟶ 1,534:
=={{header|REXX}}==
<
parse arg hi cols . /*obtain optional argument from the CL.*/
if hi=='' | hi=="," then hi= 10000 /* " " " " " " */
if cols=='' | cols=="," then cols= 10 /* " " " " " " */
w= 10 /*the width of any column in the output*/
call genP /*build array of semaphores for primes.*/
if cols>0 then say ' index │'center(
if cols>0 then say '───────┼'center("" , 1 + cols*(w+1), '─')
$=; idx= 1 /*list of Frobenius #s (so far); index.*/
do j=1; jp= j+1; y= @.j*@.jp - @.j - @.jp /*calculate a Frobenius number. */
if y>= hi then leave /*Is Y too high? Yes, then leave. */
if cols
c= commas(y) /*maybe add commas to the number. */
$= $ right(c, max(w, length(c) ) )
if j//cols\==0 then iterate /*have we populated a line of output? */
say center(idx, 7)'│' substr($, 2); $= /*display what we have so far (cols). */
Line 1,004 ⟶ 1,555:
if $\=='' then say center(idx, 7)"│" substr($, 2) /*possible display residual output.*/
if cols>0 then say '───────┴'center("" , 1 + cols*(w+1), '─')
say
say 'Found ' commas(j-1)
exit 0 /*stick a fork in it, we're all done. */
/*──────────────────────────────────────────────────────────────────────────────────────*/
Line 1,012 ⟶ 1,563:
/*──────────────────────────────────────────────────────────────────────────────────────*/
genP: @.1=2; @.2=3; @.3=5; @.4=7; @.5=11; @.6= 13 /*define some low primes. */
/* [↓] generate more primes ≤ high.*/
do j=@.#+
if j//7==0 then
do k=6 while sq.k<=j
end /*k*/ /* [↑] only process numbers ≤ √ J */
#= #+1; @.#= j;
end /*j*/; return</
{{out|output|text= when using the default inputs:}}
<pre>
Line 1,038 ⟶ 1,586:
=={{header|Ring}}==
<syntaxhighlight lang="ring">load "stdlib.ring" # for isprime() function
? "working..." + nl + "Frobenius numbers are:"
# create table of prime numbers between
Frob = [2]
for n = 3 to
if isprime(n) Add(Frob,n) ok
next
Line 1,056 ⟶ 1,603:
next
? nl + nl + "Found " + (m-1) + " Frobenius numbers" + nl + "done..."
# a very plain string formatter, intended to even up columnar outputs
Line 1,062 ⟶ 1,609:
s = string(x) l = len(s)
if l > y y = l ok
return substr(" ", 11 - y + l) + s</
{{out}}
<pre>working...
Frobenius numbers are:
1 7 23 59 119
191 287 395 615 839
1079 1439 1679 1931 2391
3015 3479 3959 4619 5039
5615 6395 7215 8447 9599
Found 25 Frobenius numbers
done...</pre>
=={{header|RPL}}==
« → max
« { } 2 OVER
'''DO'''
ROT SWAP + SWAP
DUP NEXTPRIME DUP2 * OVER - ROT -
'''UNTIL''' DUP max ≥ '''END'''
DROP2
» » ‘<span style="color:blue>FROB</span>’ STO
10000 <span style="color:blue>FROB</span>
{{out}}
<pre>
1: { 1 7 23 59 119 191 287 395 615 839 1079 1439 1679 1931 2391 3015 3479 3959 4619 5039 5615 6395 7215 8447 9599 }
</pre>
=={{header|Ruby}}==
<syntaxhighlight lang="ruby">require 'prime'
Prime.each_cons(2) do |p1, p2|
f = p1*p2-p1-p2
break if f > 10_000
puts f
end
</syntaxhighlight>
{{out}}
<pre>1
7
23
59
119
191
287
395
615
839
1079
1439
1679
1931
2391
3015
3479
3959
4619
5039
5615
6395
7215
8447
9599
</pre>
=={{header|Rust}}==
<
// primal = "0.3"
Line 1,106 ⟶ 1,707:
}
println!();
}</
{{out}}
Line 1,128 ⟶ 1,729:
770879 776159* 781451 802715 824459* 835379* 851903 868607 879839* 889239
900591 919631* 937019 946719 958431 972179 986039
</pre>
=={{header|Sidef}}==
<syntaxhighlight lang="ruby">func frobenius_number(n) {
prime(n) * prime(n+1) - prime(n) - prime(n+1)
}
say gather {
1..Inf -> each {|k|
var n = frobenius_number(k)
break if (n >= 10_000)
take(n)
}
}</syntaxhighlight>
{{out}}
<pre>
[1, 7, 23, 59, 119, 191, 287, 395, 615, 839, 1079, 1439, 1679, 1931, 2391, 3015, 3479, 3959, 4619, 5039, 5615, 6395, 7215, 8447, 9599]
</pre>
=={{header|Wren}}==
{{libheader|Wren-math}}
{{libheader|Wren-fmt}}
<
import "./
var primes = Int.primeSieve(101)
Line 1,146 ⟶ 1,762:
}
System.print("Frobenius numbers under 10,000:")
Fmt.tprint("$,5d", frobenius, 9)
System.print("\n%(frobenius.count) such numbers found.")</
{{out}}
Line 1,157 ⟶ 1,773:
25 such numbers 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;
];
int Count, M, Pn, Pn1, F;
[Count:= 0;
M:= 2; \first prime
Pn:= M;
loop [repeat M:= M+1 until IsPrime(M);
Pn1:= M;
F:= Pn*Pn1 - Pn - Pn1;
if F >= 10_000 then quit;
IntOut(0, F);
Count:= Count+1;
if rem(Count/10) = 0 then CrLf(0) else ChOut(0, 9\tab\);
Pn:= Pn1;
];
CrLf(0);
IntOut(0, Count);
Text(0, " Frobenius numbers found below 10,000.
");
]</syntaxhighlight>
{{out}}
<pre>
1 7 23 59 119 191 287 395 615 839
1079 1439 1679 1931 2391 3015 3479 3959 4619 5039
5615 6395 7215 8447 9599
25 Frobenius numbers found below 10,000.
</pre>
=={{header|Yabasic}}==
{{trans|PureBasic}}
<syntaxhighlight lang="yabasic">
sub isPrime(v)
if v < 2 then return False : fi
if mod(v, 2) = 0 then return v = 2 : fi
if mod(v, 3) = 0 then return v = 3 : fi
d = 5
while d * d <= v
if mod(v, d) = 0 then return False else d = d + 2 : fi
wend
return True
end sub
pn = 2
n = 0
for i = 3 to 9999 step 2
if isPrime(i) then
n = n + 1
f = pn * i - pn - i
if f > 10000 then break : fi
print n, " => ", f
pn = i
end if
next i
end
</syntaxhighlight>
{{out}}
<pre>
Igual que la entrada de PureBasic.
</pre>
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