A036797 -id:A036797 - cp's OEIS frontend

A036971 Numbers k such that the k-th Fibonacci number reversed is prime.

3, 4, 5, 7, 9, 14, 17, 21, 25, 26, 65, 98, 175, 191, 382, 497, 653, 1577, 1942, 1958, 2405, 4246, 4878, 5367, 9142, 9318, 10921, 17833, 20433, 50373, 66571, 85098, 93699, 104075

Offset: 1

G. L. Honaker, Jr., Carlos Rivera

Numbers k such that the k-th Fibonacci number appears in A095179. - Iain Fox, Oct 28 2017

Cf. A036797, A036972, A095179.

revdigs:= proc(n) local L;
L:= convert(n,base,10);
add(L[-i]*10^(i-1),i=1..nops(L))
end proc:
select(isprime@revdigs@combinat:-fibonacci, [$1..10000]); # Robert Israel, Oct 29 2017

a = Table[FromDigits[Reverse[IntegerDigits[Fibonacci[j]]]], {j, 10000}]; b = Select[a, PrimeQ[ # ] &]; Flatten[Table[Position[a, b[[i]]], {i, 1, Length[b]}]]
Select[Range[9400],PrimeQ[IntegerReverse[Fibonacci[#]]]&] (* The program uses the IntegerReverse function from Mathematica version 10 *) (* Harvey P. Dale, Dec 08 2015 *)

lista(nn) = for(n=3, nn, if(ispseudoprime(eval(concat(Vecrev(Str(fibonacci(n)))))), print1(n, ", "))) \\ Iain Fox, Oct 28 2017

a(25)-a(26) from Vit Planocka (planocka(AT)mistral.cz), Feb 25 2003
Offset corrected by Arkadiusz Wesolowski, Jan 12 2012
a(27)-a(31) from Iain Fox, Oct 28 2017
a(32)-a(33) from Iain Fox, Oct 29 2017
a(34) from Iain Fox, Aug 24 2021

A036972 Numbers k such that the k-th prime is a Fibonacci number reversed.

Original entry on oeis.org

1, 2, 3, 11, 14, 137, 1005, 5324, 6486, 33326, 1847020051726, 19899051754834984670

Offset: 1

N. J. A. Sloane, G. L. Honaker, Jr.

More terms could be obtained from A036971.

The next reversed Fibonacci number which is a prime number is 940647607443258103531. The next term in the sequence would be the prime index for that prime. - Harvey P. Dale, Jun 02 2009

Kim Walisch, Fast C++ prime counting function implementation (primecount).

Cf. A036797, A036971.

Sort[PrimePi/@(Select[FromDigits[Reverse[IntegerDigits[ # ]]]&/@Fibonacci[Range[90]],PrimeQ])] (* Harvey P. Dale, Jun 02 2009 *)

One additional term from Harvey P. Dale, Jun 02 2009

Offset corrected and a(12) added using Kim Walisch's primecount by Amiram Eldar, May 06 2024

A345956 Primes whose reverse is the square of a Fibonacci number.

Original entry on oeis.org

1297, 921241, 186331288599111530713519, 98866853184420632874393761586063024530467395043

Offset: 1

Tanya Khovanova, Jun 30 2021

			The reverse of 1297 is 7921 = 89^2, where 89 is a Fibonacci number. Thus 1297 is in this sequence.

Cf. A007488 (primes whose reversal is a square), A036797 (Iccanobif primes).

Cf. A000045, A007598.

Select[IntegerReverse/@(Fibonacci@Range@1000^2),PrimeQ] (* Giorgos Kalogeropoulos, Jun 30 2021 *)

for(k=3,200,my(f=fibonacci(k)^2,fi=fromdigits(Vecrev(digits(f))));if(isprime(fi),print1(fi,", "))) \\ Hugo Pfoertner, Jun 30 2021

from sympy import fibonacci, isprime
def rev(n): return int(str(n)[::-1])
def auptok(klimit): return [t for t in (rev(fibonacci(k)**2) for k in range(3, klimit+1)) if isprime(t)]
print(auptok(200)) # Michael S. Branicky, Jun 30 2021

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A036971 Numbers k such that the k-th Fibonacci number reversed is prime.

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A036972 Numbers k such that the k-th prime is a Fibonacci number reversed.

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A345956 Primes whose reverse is the square of a Fibonacci number.

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