Problem - 02 - National Math Camp 2021 Mock Exam - "Modular equation involving power tower of 2"
- Anindya Biswas
- Posts:264
- Joined:Fri Oct 02, 2020 8:51 pm
- Location:Magura, Bangladesh
- Contact:
Let $n = 2^{2^x}$ for some $x > 0$. If $d\mid n^2+1$, then show that \[d\equiv1\pmod{2^{x+3}}\]
"If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is."
— John von Neumann
— John von Neumann