Sums of Squares of Fibonacci Numbers with Prime Indices - Journal of Applied Mathematics and Physics

JAMP > Vol.3 No.12, December 2015

Sums of Squares of Fibonacci Numbers with Prime Indices ()

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DOI: 10.4236/jamp.2015.312186 3,460 Downloads 4,947 Views Citations

Author(s)

A. Gnanam^*, B. Anitha

Affiliation(s)

Department of Mathematics, Government Arts College, Tiruchirappalli, India.

ABSTRACT

In this paper we present some identities for the sums of squares of Fibonacci and Lucas numbers with consecutive primes, using maximal prime gap G(x)~log²x, as indices.

KEYWORDS

Maximal Gap, Lucas Numbers, Fibonacci Numbers, Sums of Squares

Share and Cite:

Gnanam, A. and Anitha, B. (2015) Sums of Squares of Fibonacci Numbers with Prime Indices. Journal of Applied Mathematics and Physics, 3, 1619-1623. doi: 10.4236/jamp.2015.312186.

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