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Difference between prime(Fibonacci(n+1)) and prime(Fibonacci(n)).
2

%I #24 Jan 16 2023 11:16:39

%S 0,1,2,6,8,22,32,66,118,204,366,644,1120,1902,3300,5676,9690,16620,

%T 28152,47900,80856,136546,230754,387570,651932,1093174,1832286,

%U 3065822,5122932,8557788,14272702,23779968,39592890,65860910,109471248,181821502,301795112

%N Difference between prime(Fibonacci(n+1)) and prime(Fibonacci(n)).

%H Chai Wah Wu, <a href="/A343256/b343256.txt">Table of n, a(n) for n = 1..83</a>

%F a(n) = prime(Fibonacci(n+1)) - prime(Fibonacci(n)).

%F a(n) = A030427(n+1) - A030427(n).

%t A343256[nmax_]:=Differences[Prime[Fibonacci[Range[nmax+1]]]];

%t A343256[20] (* _Paolo Xausa_, Jan 16 2023 *)

%Y Cf. A000040 (primes), A000045 (Fibonacci), A030427.

%K nonn

%O 1,3

%A _Paolo Xausa_, Apr 09 2021