This article discusses the sums of reciprocal and reciprocal squared of Lucas number through several propositions in the form of inequalities. Several identities are used to prove the propositions. Some required identities ...

This article discusses the existence of the perfect powers obtained by the result of the addition and subtraction of two Fibonacci numbers, namely Fn and Fm under the condition n ≡ m (mod 2). In the case of n > m > 0, ...