Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #32 Aug 17 2024 10:10:33
%S 1,2,3,4,5,6,7,8,22,28
%N Numbers k such that A003266(k) + 1 is prime.
%C Next term > 300. - _Joerg Arndt_, Aug 16 2014
%C The corresponding primes are given in A053413. - _Joerg Arndt_, Aug 17 2014
%C If it exists, a(11) > 1100. - _Robert Price_, May 27 2019
%H C. K. Caldwell, <a href="https://t5k.org/glossary/page.php?sort=FibonacciNumber">Fibonacci Numbers</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/FibonacciNumber.html">Fibonacci Number.</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Fibonorial.html">Fibonorial</a>
%t Select[Range[30], PrimeQ[Fibonorial[#] + 1] &] (* _Robert Price_, May 26 2019 *)
%o (PARI) ff(n)=prod(i=1, n, fibonacci(i));
%o for(n=1,10^6, if(ispseudoprime(ff(n)+1), print1(n,", "))); \\ _Joerg Arndt_, Aug 16 2014
%Y Cf. A000040, A000045, A003266, A053412, A053413, A059709.
%K nonn,more
%O 1,2
%A _G. L. Honaker, Jr._, Jan 08 2000
%E Definition edited by _Daniel Forgues_, Nov 29 2009
%E Edited definition, _Joerg Arndt_, Aug 17 2014