以下は私が個人的に研究を行って執筆した論文の最新版

Proof of Legendre's conjecture 2022/06/13
Short proof of Fortune's conjecture 2023/01/26
Proof of Firoozbakht's conjecture 2023/07/03
Non-existence of odd n-multiperfect numbers 2023/12/06
Non-existence of odd harmonic divisor numbers 2023/12/06
There are no quasiperfect numbers 2024/06/19
There are no almost perfect numbers other than the form of 2^k 2024/06/21
Proof of Collatz conjecture 2025/02/24
Proof of Erdős–Straus conjecture 2025/06/08
Definitive proof of Goldbach's conjecture 2026/03/29
Definitive proof of Lemoine's conjecture 2026/03/29
Definitive proof of numbers of the form p=x(x+1) 2026/03/29
Definitive proof of twin prime conjecture 2026/04/04
Definitive proof about Sophie Germain primes 2026/04/04