On two supercongruences of double binomial sums

TL;DR

This paper confirms two conjectured supercongruences related to double sums of binomial coefficients, advancing understanding of binomial sum congruences in number theory.

Contribution

It provides a proof for two previously conjectural supercongruences involving double binomial sums, which were proposed by El Bachraoui.

Findings

Confirmed two conjectural supercongruences

Enhanced understanding of binomial sum supercongruences

Contributed to number theory and combinatorics

Abstract

In this note, we confirm two conjectural supercongruences on double sums of binomial coefficients due to El Bachraoui.