cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

Original entry on oeis.org

2, 4181, 24157817, 83621143489848422977, 322615043836854783580186309282650000354271239929
Offset: 1

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Author

Shyam Sunder Gupta, Feb 18 2006

Keywords

Examples

			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).
		

Crossrefs

Cf. A000045, A114704 (indices), A135958 (indices).

Programs

  • 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 *)

Formula

a(n) = A000045(A114704(n)). - Amiram Eldar, Jul 27 2025

Extensions

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