Lupeng Qiu

Qiu Lupeng Conjecture Proof(Part I)

This paper is Part I of the proof of the Qiu Lupeng Conjecture, also called the Beautiful Identities Conjecture. The conjecture states that there exist only three beautiful equations formed by consecutive natural numbers, and no fourth such identity exists. This part uses modulo...

Proof of Qiu Lupeng Conjecture(Part 1)

This paper studies the Qiu Lupeng Conjecture (Beautiful Equalities Conjecture).We discuss a Diophantine equation with infinitely many terms on the left-hand side.Using modular arithmetic modulo 2, modulo 3 and modulo 5, we analyze parity and remainder conditions for integer solut...