Search: id:A099381
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%I A099381
%S A099381 2,3,6,8,9,12,15,24,33,48,225,525,948,1344,5169,30600,32520,32604,72396
%N A099381 Numbers n such that |Fibonacci(n) - prime(n)| is prime.
%C A099381 Fibonacci(n) - prime(n) > 0 for n >= 8. All terms other than 2 and 8 
               (only two terms producing 2, the only even prime) are divisible by 
               3 (as Fibonacci(n) is even - and hence |Fibonacci(n) - prime(n)| 
               > 1 and odd - iff n is divisible by 3).
%C A099381 Some of the larger entries may only correspond to probable primes.
%e A099381 9 is a term as Fibonacci(9) - prime(9) = 34 - 23 = 11, a prime.
%t A099381 fQ[n_] := PrimeQ[ Fibonacci[n] - Prime[n]]; Do[ If[ fQ[n], Print[n]], 
               {n, 9, 10^4, 3}] (from Robert G. Wilson v Nov 18 2004)
%o A099381 (PARI) print1(2,",",3,",",6,",",8,","); forstep(n=9,5169,3, if(isprime(fibonacci(n)-prime(n)), 
               print1(n,",")))
%Y A099381 Cf. A050180 (Fibonacci(n) + prime(n) is prime).
%Y A099381 Sequence in context: A032711 A047244 A111215 this_sequence A089437 A146768 
               A122479
%Y A099381 Adjacent sequences: A099378 A099379 A099380 this_sequence A099382 A099383 
               A099384
%K A099381 nonn
%O A099381 1,1
%A A099381 Rick L. Shepherd (rshepherd2(AT)hotmail.com), Nov 16 2004
%E A099381 4 more terms from Jason Earls (zevi_35711(AT)yahoo.com), Nov 25 2007

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