I am just an integrated BS-MS student in IISER Kolkata with a major in mathematics.

Some of my favourites among the answers I gave on MSE-

1. Number of integer solutions of $a^2+b^2=10c^2$

2. Comparing infinities intuitively

3. An alternative solution for $\int_0^{\frac \pi 2}\sin(2nx)\cot x \text{ d}x$

4. Prove that $n^n<(n!)^2$ for $n>2$

Some of my questions that got some brilliant answers-

1. Intuition behind Newton's Interpolation methods

2. Symmetries of Persian tiles

3. Proof of Stewart's Theorem using elementary geometry

My questions that still doesn't have satisfactory (according to me) answers-

1. If we know about the divisors of $n$, what can we comment about the divisors of $n+x$?

2. How to know if we have a prime number among a given finite collection of natural numbers?

3. Making an intuitive guess for performing a projection