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A159978 a(n) = (smallest prime > Fibonacci(n)) - Fibonacci(n).

%I A159978 #17 Sep 22 2022 13:39:30
%S A159978 1,1,1,2,2,3,4,2,3,4,8,5,6,2,3,4,4,7,20,14,3,2,4,13,4,10,11,16,14,23,
%T A159978 4,4,25,10,14,35,6,24,3,2,6,7,12,20,9,48,10,5,28,18,23,14,14,11,16,10,
%U A159978 21,4,62,13,38,12,7,16,12,19,36,28,143,32,58,29,96,100,33,2,30,27,12,62,25
%N A159978 a(n) = (smallest prime > Fibonacci(n)) - Fibonacci(n).
%H A159978 T. D. Noe, <a href="/A159978/b159978.txt">Table of n, a(n) for n=1..1000</a>
%F A159978 a(n) = A013632(A000045(n)). - _R. J. Mathar_, Apr 29 2009
%e A159978 a(6)=3 because the 6th Fibonacci term is 8 and the distance to nextprime(6) is 3 (11-8=3).
%p A159978 A159978 := proc(n) local f; f := combinat[fibonacci](n) ; nextprime(f)-f ; end: seq(A159978(n),n=1..100) ; # _R. J. Mathar_, Apr 29 2009
%t A159978 Table[f = Fibonacci[n]; NextPrime[f] - f, {n, 200}] (* _Vladimir Joseph Stephan Orlovsky_, Jul 08 2011 *)
%o A159978 (UBASIC) 10 'FiboB 20 A=1:print A; 30 B=1:print B; 40 C=A+B:print C;:T=T+1:print "<";nxtprm(C)-C;">"; 50 D=B+C:print D;:print "<";nxtprm(D)-D;">"; 60 A=C:B=D:if T>22 then stop:else 40
%o A159978 (PARI) a(n) = my(f=fibonacci(n)); nextprime(f+1) - f; \\ _Michel Marcus_, Sep 22 2022
%Y A159978 Cf. A000045, A013632, A159977.
%K A159978 easy,nonn
%O A159978 1,4
%A A159978 _Enoch Haga_, Apr 28 2009
%E A159978 Extended by _R. J. Mathar_, Apr 29 2009