An Elementary Proof of Gilbreaths Conjecture
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2015, Vol 10, Issue 7
Abstract
Given the fact that the Gilbreath's Conjecture has been a major topic of research in Aritmatic progression for well over a Century,and as bellow:2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 611 2 2 4 2 4 2 4 6 2 6 4 2 4 6 6 21 0 2 2 2 2 2 2 4 4 2 2 2 2 0 41 2 0 0 0 0 0 2 0 2 0 0 0 2 41 2 0 0 0 0 2 2 2 2 0 0 2 21 2 0 0 0 2 0 0 0 2 0 2 01 2 0 0 2 2 0 0 2 2 2 21 2 0 2 0 2 0 2 0 0 01 2 2 2 2 2 2 2 0 01 0 0 0 0 0 0 2 01 0 0 0 0 0 2 21 0 0 0 0 2 01 0 0 0 2 21 0 0 2 01 0 2 21 2 01 21The Gilbreath's conjecture in a way as easy and comprehensive as possible.He proposed that these differences, when calculated repetitively and left as bsolute values, would always result in a row of numbers beginning with 1,In this paper we bring elementary proof for this conjecture.
Authors and Affiliations
Hashem Sazegar
Keywords
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- EP ID EP651557
- DOI 10.24297/jam.v10i7.1831
- Views 138
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