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%I #36 Feb 24 2024 01:02:41
%S 2,13,971,121367,317783,3416454622906631,
%T 3807901929474025356630904133903,757791618667731139247631372099907
%N Primes of the form F(k)-k where F(k) is the k-th Fibonacci number.
%C a(9) is a 169-digit certified prime (Primo). - _Rick L. Shepherd_, Apr 26 2002
%H Charles R Greathouse IV, <a href="/A069109/b069109.txt">Table of n, a(n) for n = 1..13</a>
%F A065220 INTERSECT A000040. - _R. J. Mathar_, Apr 24 2017
%F a(n) = A065220(A270821(n)). - _Amiram Eldar_, Jun 04 2022
%t Select[Table[Fibonacci[k] - k, {k, 1, 160}], PrimeQ] (* _Amiram Eldar_, Jun 04 2022 *)
%o (PARI) for(n=1, 4036, if(ispseudoprime(t=fibonacci(n)-n), print1(t", "))); \\ _Charles R Greathouse IV_, Feb 17 2011
%Y Cf. A000045, A065220, A270821.
%K nonn
%O 1,1
%A _Benoit Cloitre_, Apr 06 2002