One conjecture about size of Sidon sets

TL;DR

This paper investigates the size of Sidon sets within the set of integers from 1 to n, providing a proof that the maximum size of such sets exceeds the square root of n.

Contribution

It offers a new proof establishing that the largest Sidon set in [n] has a size greater than .

Findings

Maximal Sidon set size exceeds  in [n]

Provides a lower bound for Sidon set cardinality

Advances understanding of Sidon set growth

Abstract

We prove that maximal cardinality of the Sidon set from $[n]$ exceeds $\sqrt{n}