Sum of Squares of Consecutive Primes using Maximal Gap

A.Gnanam, M.A.Gopalan, B.Anitha "Sum of Squares of Consecutive Primes using Maximal Gap", *International Journal of Mathematics Trends and Technology (IJMTT). *V19(2):108-111 March 2015. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

**Abstract**

In this paper an attempt has been made to find the sum of squares of consecutive primes using G(x), familiarly known as the maximal gap between consecutive primes. Here conjectures of [1,2] namely G(x)∼logx(logx-2loglogx+C), G(x)∼(logx)^2, G(x)∼logx(logx+logloglogx) have been considered. Relations among values of x and the gaps between consecutive primes are presented here. The results are analyzed for the primes ≤〖10〗6and to a gap of 72.

**References**

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**Keywords**

Maximal gaps between primes, Polygonal numbers.