Publikacije Elektrotehnickog fakulteta - serija: matematika 2006 Issue 17, Pages: 38-44
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On Fibonacci powers

Andrejić Vladica

Fibonacci numbers have engaged the attention of mathematicians for several centuries, and whilst many of their properties are easy to establish by very simple methods, there are several unsolved problems connected to them. In this paper we review the history of the conjecture that the only perfect powers in Fibonacci sequence are 1, 8, and 144. Afterwards we consider more stronger conjecture and give the new characterization of closely related Wall-Sun-Sun primes.

Keywords: Fibonacci number, perfect power, Wall-Sun-Sun prime

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