Sum of Squares of Consecutive Primes using Maximal Gap

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2015 by IJMTT Journal
Volume-19 Number-2
Year of Publication : 2015
Authors : A.Gnanam, M.A.Gopalan, B.Anitha
  10.14445/22315373/IJMTT-V19P514

MLA

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.