%I #16 Oct 04 2021 08:11:36
%S 610,987,10946,3524578,9227465,24157817,39088169,63245986,1836311903,
%T 7778742049,20365011074,591286729879,4052739537881,17167680177565,
%U 44945570212853,61305790721611591,420196140727489673,1500520536206896083277,6356306993006846248183
%N Sphenic Fibonacci numbers.
%C Intersection of A000045 and A007304. There are 28 sphenic numbers among the first 200 positive Fibonacci numbers.
%F A000045 INTERSECT A007304.
%e 610 is a term since it is a Fibonacci number that is a product of 3 distinct primes, 610=2*5*61, which makes it a sphenic number.
%t Select[Fibonacci@Range[120], SquareFreeQ[#]&&PrimeNu[#]==3&]
%o (PARI) for(n=1, 120, fn=fibonacci(n); issquarefree(fn)&&omega(fn)==3&&print1(fn ","))
%Y Cf. A000045, A007304, A061305 (squarefree Fibonaccis), A137563 (Fibonaccis with 3 distinct primes).
%K nonn
%O 1,1
%A _Waldemar Puszkarz_, Mar 23 2018