A050180 Numbers m such that prime(m) + Fibonacci(m) is prime.

1, 3, 12, 24, 42, 60, 132, 303, 312, 450, 564, 1236, 1419, 2952, 10098, 12060, 13848, 17229, 22356, 37896, 251904

Offset: 1

Author

Jason Earls, Oct 06 2001

Keywords

• nonn
• more
• hard

Comments

a(22) > 256737. - J.W.L. (Jan) Eerland, Jun 22 2022

Crossrefs

Cf. A004397, A001605.

Programs

Magma

[n: n in [1..2000] | IsPrime(NthPrime(n)+Fibonacci(n))]; // Vincenzo Librandi, Jul 29 2016

Mathematica

Do[ If[ PrimeQ[ Prime[n] + Fibonacci[n]], Print[n] ], {n, 1, 150000} ]
Select[Range[10000], PrimeQ[Fibonacci[#] + Prime[#]] &] (* Vincenzo Librandi, Jul 29 2016 *)
DeleteCases[ParallelTable[If[PrimeQ[Prime[n]+Fibonacci[n]],n,a],{n,0,256737}],a] (* J.W.L. (Jan) Eerland, Jun 22 2022 *)

PARI

for(n=1,10^5, if(isprime(prime(n)+fibonacci(n)),print1(n," ")))

Extensions

More terms from Robert G. Wilson v, Oct 08 2001

a(18)-a(19) from Vincenzo Librandi, Apr 10 2020

a(20) from J.W.L. (Jan) Eerland, Dec 23 2021

a(21) from J.W.L. (Jan) Eerland, Jun 22 2022