First 9 prime Fibonacci number: Difference between revisions

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Task

Show on this page the first 9 prime Fibonacci numbers.

ALGOL 68

<lang algol68>BEGIN # show the first 9 prime fibonacci numbers #

   PR read "primes.incl.a68" PR # include prime utilities #
   INT p count := 0;
   INT prev    := 0;
   INT curr    := 1;
   WHILE p count < 9 DO
       INT next = prev + curr;
       prev    := curr;
       curr    := next;
       IF is probably prime( curr ) THEN
           # have a prime fibonacci number #
           p count +:= 1;
           print( ( " ", whole( curr, 0 ) ) )
       FI
   OD

END</lang>

Output:

 2 3 5 13 89 233 1597 28657 514229

AWK

syntax: GAWK -f FIRST_9_PRIME_FIBONACCI_NUMBER.AWK

BEGIN {

   f1 = f2 = 1
   stop = 9
   printf("First %d Prime Fibonacci numbers:\n",stop)
   while (count < stop) {
     f3 = f1 + f2
     if (is_prime(f3)) {
       printf("%d ",f3)
       count++
     }
     f1 = f2
     f2 = f3
   }
   printf("\n")
   exit(0)

} function is_prime(n, d) {

   d = 5
   if (n < 2) { return(0) }
   if (n % 2 == 0) { return(n == 2) }
   if (n % 3 == 0) { return(n == 3) }
   while (d*d <= n) {
     if (n % d == 0) { return(0) }
     d += 2
     if (n % d == 0) { return(0) }
     d += 4
   }
   return(1)

} </lang>

Output:

First 9 Prime Fibonacci numbers:
2 3 5 13 89 233 1597 28657 514229

<lang BASIC256>function isPrime(v) if v < 2 then return False if v mod 2 = 0 then return v = 2 if v mod 3 = 0 then return v = 3 d = 5 while d * d <= v if v mod d = 0 then return False else d += 2 end while return True end function

function fib(nr) if nr = 0 then return 0 if nr = 1 then return 1 if nr > 1 then return fib(nr-1) + fib(nr-2) end function

i = 0 cont = 0 print "The first 9 Prime Fibonacci numbers: " while True i += 1 num = fib(i) if isPrime(num) then cont += 1 if cont < 10 then print num; " "; else exit while end if end if end while end</lang>

Output:

Igual que la entrada de FreeBASIC.

FreeBASIC

<lang freebasic>Function isPrime(Byval ValorEval As Integer) As Boolean

   If ValorEval <= 1 Then Return False
   For i As Integer = 2 To Int(Sqr(ValorEval))
       If ValorEval Mod i = 0 Then Return False
   Next i
   Return True

End Function

Function fib(nr As Integer) As Integer

   If nr = 0 Then Return 0
   If nr = 1 Then Return 1
   If nr > 1 Then Return fib(nr-1) + fib(nr-2)

End Function

Dim As Integer i = 0, num, cont = 0 Print "The first 9 Prime Fibonacci numbers: " Do

   i += 1
   num = fib(i)
   If isprime(num) Then
       cont += 1
       If cont < 10 Then
           Print num; " ";
       Else
           Exit Do
       End If
   End If

Loop Sleep</lang>

Output:

The first 9 Prime Fibonacci numbers: 
2  3  5  13  89  233  1597  28657  514229

PureBasic

<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

Procedure fib(nr.i)

 If     nr = 0 : ProcedureReturn 0
 ElseIf nr = 1 : ProcedureReturn 1
 ElseIf nr > 1 : ProcedureReturn fib(nr-1) + fib(nr-2)
 EndIf

EndProcedure

If OpenConsole()

 Define i.i = 0, cont.i = 0
 PrintN("The first 9 Prime Fibonacci numbers: ")
 Repeat
   i + 1
   num = fib(i)
   If isprime(num)
     cont + 1
     If cont < 10
       Print(Str(num) + " ")
     Else
       Break
     EndIf
   EndIf
 ForEver
 
 PrintN(#CRLF$ + "--- terminado, pulsa RETURN---"): Input()
 CloseConsole()

EndIf</lang>

Output:

Igual que la entrada de FreeBASIC.

Yabasic

<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

sub fib(nr)

   if nr = 0 then return 0 : fi
   if nr = 1 then return 1 : fi
   if nr > 1 then return fib(nr-1) + fib(nr-2) : fi

end sub

i = 0 cont = 0 print "The first 9 Prime Fibonacci numbers: " do

   i = i + 1
   num = fib(i)
   if isPrime(num) then
       cont = cont + 1
       if cont < 10 then
           print num, " ";
       else
           break
       end if
   end if

loop end</lang>

Output:

Igual que la entrada de FreeBASIC.

C

Translation of: Wren

Requires C99 or later. <lang c>#include <stdio.h>

include <stdint.h>
include <stdbool.h>

bool isPrime(uint64_t n) {

   if (n < 2) return false;
   if (!(n%2)) return n == 2;
   if (!(n%3)) return n == 3;
   uint64_t d = 5;
   while (d*d <= n) {
       if (!(n%d)) return false;
       d += 2;
       if (!(n%d)) return false;
       d += 4;
   }
   return true;

}

int main() {

   uint64_t f1 = 1, f2 = 1, f3;
   int count = 0, limit = 12; // as far as we can get without using GMP
   printf("The first %d prime Fibonacci numbers are:\n", limit);
   while (count < limit) {
       f3 = f1 + f2;
       if (isPrime(f3)) {
           printf("%ld ", f3);
           count++;
       }
       f1 = f2;
       f2 = f3;
   }
   printf("\n");
   return 0;

}</lang>

Output:

The first 12 prime Fibonacci numbers are:
2 3 5 13 89 233 1597 28657 514229 433494437 2971215073 99194853094755497

F#

<lang fsharp> // Prime Fibonacci Numbers. Nigel Galloway: January 21st., 2022 seq{yield! [2I;3I]; yield! MathNet.Numerics.Generate.FibonacciSequence()|>Seq.skip 5|>Seq.filter(fun n->n%4I=1I && Open.Numeric.Primes.MillerRabin.IsProbablePrime &n)}|>Seq.take 23|>Seq.iteri(fun n g->printfn "%2d->%A" (n+1) g) </lang>

Output:

 1->2
 2->3
 3->5
 4->13
 5->89
 6->233
 7->1597
 8->28657
 9->514229
10->433494437
11->2971215073
12->99194853094755497
13->1066340417491710595814572169
14->19134702400093278081449423917
15->475420437734698220747368027166749382927701417016557193662268716376935476241
16->529892711006095621792039556787784670197112759029534506620905162834769955134424689676262369
17->1387277127804783827114186103186246392258450358171783690079918032136025225954602593712568353
18->3061719992484545030554313848083717208111285432353738497131674799321571238149015933442805665949
19->10597999265301490732599643671505003412515860435409421932560009680142974347195483140293254396195769876129909
20->36684474316080978061473613646275630451100586901195229815270242868417768061193560857904335017879540515228143777781065869
21->96041200618922553823942883360924865026104917411877067816822264789029014378308478864192589084185254331637646183008074629
22->357103560641909860720907774139063454445569926582843306794041997476301071102767570483343563518510007800304195444080518562630900027386498933944619210192856768352683468831754423234217978525765921040747291316681576556861490773135214861782877716560879686368266117365351884926393775431925116896322341130075880287169244980698837941931247516010101631704349963583400361910809925847721300802741705519412306522941202429437928826033885416656967971559902743150263252229456298992263008126719589203430407385228230361628494860172129702271172926469500802342608722006420745586297267929052509059154340968348509580552307148642001438470316229
23->500195636126957292905024512596972806695803345136243348970565288179435361313804956505581782637634612477979679893275103396147348650762007594937510804541145002304302867341006298493404319657382123201158007188252606550806694535329232256851056656372379649097735304781630173812454531781511107460619516018844320335033801984806819067802561370394036732654089838823551603083295670024453477589093119918386566397677610274213837391954591147603054442650326827980781140275941425217172428448698161710841740688042587204161256084914166762549007012713922172748259690566614580062682196606466498102571627683726718483229578044343646737694436406261444368327649097401550241341102704783841619376027737767077127010039900586625841991295111482539736725172169379740443890332234341104310470907449898415522414805210341138063350999730749950920147250683227798780264811215647706542511681027825390882770762662185410080310045261286851842669934849330548237271838345164232560544964315090365421726004108704302854387700053591957

Factor

Works with: Factor version 0.99 2021-06-02

<lang factor>USING: kernel lists lists.lazy math.primes prettyprint sequences ;

prime-fib ( -- list )

   { 0 1 } [ [ rest ] [ sum suffix ] bi ] lfrom-by
   [ second ] lmap-lazy [ prime? ] lfilter ;

9 prime-fib ltake [ . ] leach</lang>

Output:

J

Here, we pick a convenient expression for generating fibonacci numbers

Then we select the first 9 which are prime:

jq

Works with jq (*)

Works with gojq, the Go implementation of jq

See Erdős-primes#jq for a suitable definition of `is_prime` as used here.

(*) For unlimited precision integer arithmetic, use gojq. <lang jq># Emit an unbounded stream of Fibonacci numbers def fibonaccis:

 # input: [f(i-2), f(i-1)]
 def fib: (.[0] + .[1]) as $sum
          | if .[2] == 0 then $sum
            else $sum, ([ .[1], $sum ] | fib)
            end;
 [-1, 1] | fib;

"The first 9 prime Fibonacci numbers are:", limit(9; fibonaccis | select(is_prime))</lang>

Output:

The first 9 prime Fibonacci numbers are:
2
3
5
13
89
233
1597
28657
514229

Julia

<lang julia>using Lazy using Primes

fibs = @lazy big"0":big"1":(fibs + drop(1, fibs))

primefibs = @>> fibs filter(isprime)

println(take(9, primefibs)) # List: (2 3 5 13 89 233 1597 28657 514229) </lang>

Perl

<lang perl>#!/usr/bin/perl

use strict; # https://rosettacode.org/wiki/First_9_Prime_Fibonacci_Number use warnings; use ntheory qw( is_prime );

my @first; my $x = my $y = 1; while( @first < 9 )

 {
 ($x, $y) = ($x + $y, $x);
 is_prime( $x ) and push @first, $x;
 }

print "@first\n";</lang>

Output:

2 3 5 13 89 233 1597 28657 514229

Phix

Library: Phix/online

You can run this online here.

with javascript_semantics
include mpfr.e
integer n = 1, count=0
mpz f = mpz_init()
atom t0 = time(), t1 = time()+1
while count<iff(platform()=JS?21:26) do
    integer fn = iff(n<4?n+2:get_prime(n))
    mpz_fib_ui(f, fn)
    if mpz_prime(f) then
        count += 1
        string e = elapsed(time()-t0)
        printf(1,"%2d: fib(%d) = %s (%s)\n",{count,fn,shorten(mpz_get_str(f)),e})
    elsif platform()!=JS and time()>t1 then
        printf(1,"%d\r",fn)
        t1 = time()+1
    end if
    n += 1
end while

Output:

 1: fib(3) = 2 (0s)
 2: fib(4) = 3 (0.1s)
 3: fib(5) = 5 (0.2s)
 4: fib(7) = 13 (0.2s)
 5: fib(11) = 89 (0.2s)
 6: fib(13) = 233 (0.2s)
 7: fib(17) = 1597 (0.2s)
 8: fib(23) = 28657 (0.2s)
 9: fib(29) = 514229 (0.2s)
10: fib(43) = 433494437 (0.2s)
11: fib(47) = 2971215073 (0.2s)
12: fib(83) = 99194853094755497 (0.2s)
13: fib(131) = 1066340417491710595814572169 (0.2s)
14: fib(137) = 19134702400093278081449423917 (0.2s)
15: fib(359) = 47542043773469822074...62268716376935476241 (75 digits) (0.2s)
16: fib(431) = 52989271100609562179...55134424689676262369 (90 digits) (0.2s)
17: fib(433) = 13872771278047838271...25954602593712568353 (91 digits) (0.2s)
18: fib(449) = 30617199924845450305...49015933442805665949 (94 digits) (0.2s)
19: fib(509) = 10597999265301490732...54396195769876129909 (107 digits) (0.2s)
20: fib(569) = 36684474316080978061...15228143777781065869 (119 digits) (0.2s)
21: fib(571) = 96041200618922553823...31637646183008074629 (119 digits) (0.2s)
22: fib(2971) = 35710356064190986072...48642001438470316229 (621 digits) (2.8s)
23: fib(4723) = 50019563612695729290...02854387700053591957 (987 digits) (14.0s)
24: fib(5387) = 29304412869392580554...82040327194725855833 (1,126 digits) (22.4s)
25: fib(9311) = 34232086066590238613...37580645424669476289 (1,946 digits) (2 minutes and 38s)
26: fib(9677) = 10565977873308861656...95169792504550670357 (2,023 digits) (3 minutes and 3s)

Python

<lang python> print("working...") print("The firsr 9 Prime Fibonacci numbers:")

num = 0

def isprime(m):

   for i in range(2,int(m**0.5)+1):
       if m%i==0:
           return False
   return True

def fib(nr): if (nr == 0): return 0 if (nr == 1): return 1 if (nr > 1): return fib(nr-1) + fib(nr-2)

for n in range(2,520000): x = fib(n) if isprime(x): num = num + 1 if (x > 1): if (num < 11): print(str(x),end=" ") else: break

print() print("done...") </lang>

Output:

working...
The firsr 9 Prime Fibonacci numbers: 
2 3 5 13 89 233 1597 28657 514229 
done...

Raku

<lang perl6>put ++$ .fmt("%2d: ") ~ $_ for (0, 1, * + * … *).grep( &is-prime )[^20];</lang>

Output:

 1: 2
 2: 3
 3: 5
 4: 13
 5: 89
 6: 233
 7: 1597
 8: 28657
 9: 514229
10: 433494437
11: 2971215073
12: 99194853094755497
13: 1066340417491710595814572169
14: 19134702400093278081449423917
15: 475420437734698220747368027166749382927701417016557193662268716376935476241
16: 529892711006095621792039556787784670197112759029534506620905162834769955134424689676262369
17: 1387277127804783827114186103186246392258450358171783690079918032136025225954602593712568353
18: 3061719992484545030554313848083717208111285432353738497131674799321571238149015933442805665949
19: 10597999265301490732599643671505003412515860435409421932560009680142974347195483140293254396195769876129909
20: 36684474316080978061473613646275630451100586901195229815270242868417768061193560857904335017879540515228143777781065869

Ring

<lang ring> load "stdlibcore.ring" see "working..." + nl num = 0

see "The first 9 Prime Fibonacci numbers: " + nl for n = 1 to 1000000

    x = fib(n)
    if isprime(x)
       num++
       if num< 10
          ?  "" + x + "  "
       else
          exit
       ok
    ok

func fib nr

      if nr = 0 return 0 ok
      if nr = 1 return 1 ok 
      if nr > 1 return fib(nr-1) + fib(nr-2) ok

</lang>

Output:

working...
The first 9 Prime Fibonacci numbers: 
2  3  5  13  89  233  1597  28657  514229  
done...

Wren

Library: Wren-math

<lang ecmascript>import "./math" for Int

var limit = 11 // as far as we can go without using BigInt System.print("The first %(limit) prime Fibonacci numbers are:") var count = 0 var f1 = 1 var f2 = 1 while (count < limit) {

   var f3 = f1 + f2
   if (Int.isPrime(f3)) {
       System.write("%(f3) ")
       count = count + 1
   }
   f1 = f2
   f2 = f3

} System.print()</lang>

Output:

The first 11 prime Fibonacci numbers are:
2 3 5 13 89 233 1597 28657 514229 433494437 2971215073

XPL0

<lang XPL0>func IsPrime(N); \Return 'true' if N is prime int N, I; [if N <= 2 then return N = 2; if (N&1) = 0 then return false; for I:= 3 to sqrt(N) do

   [if rem(N/I) = 0 then return false;
   I:= I+1;
   ];

return true; ];

int F, N, N0, C; [C:= 0; N:= 1; N0:= 1; loop [F:= N + N0;

    if IsPrime(F) then
       [IntOut(0, F);  ChOut(0, ^ );
       C:= C+1;
       if C >= 9 then quit;
       ];
    N0:= N;
    N:= F;
    ];

]</lang>

Output:

2 3 5 13 89 233 1597 28657 514229