A114722 Smallest Fibonacci numbers with prime indices which have n prime factors.

2, 4181, 24157817, 83621143489848422977, 322615043836854783580186309282650000354271239929

Offset

1,1

Links

Table of n, a(n) for n=1..5.

Example

a(3) = 24157817 because 24157817 is the smallest Fibonacci number with a prime index (that is, 37) which has 3 prime factors (24157817 = 73*149*2221).

Mathematica

Transpose[Flatten[Table[Select[{#, PrimeOmega[#]}&/@Fibonacci[Prime[Range[50]]], Last[#]==n&, 1], {n, 5}], 1]][[1]] (* To generate the first 6 terms, change 50 to 100 inside Range and change 5 to 6 for the upper limit of n. *) (* Harvey P. Dale, Jun 20 2013 *)

Crossrefs

Cf. A114704 (indices), A135958 (indices).

Sequence in context: A024035 A048831 A342295 * A135959 A105667 A178410

Adjacent sequences: A114719 A114720 A114721 * A114723 A114724 A114725

Keyword

hard,nonn

Author

Shyam Sunder Gupta, Feb 18 2006

Extensions

Definition and example clarified by Harvey P. Dale, Jun 20 2013

Status

approved