Estimation of Range of Appearance in Heptadecagonal Numbers

Abstract: In this document, the range of appearance ࡵ)࢘ (of a positive integer ࢘ in heptagonal numbers and some results by comparing ࡵ)࢘ (with Legendre symbol, ࢖ − adic range and prime conjunction function of ࢘ are accessible. Since ࡵ)࢘ (does not possess a meticulous prototype, all the results are confirmed by Java program for all-natural numbers