$\bullet~$ I am an Undergraduate student, currently in prefinal year. $\bullet~$ I love Number theory and Quantum Physics also. $\bullet~$ I like thought experiments .

• Once you eliminate the impossible, whatever remains, no matter how improbable, must be the truth. . - Sherlock Holmes
• ''Don't bother just to be better than your contemporaries or predecessors. Try to be better than yourself.'' - William Faulkner
• All that is gold doesn't glitter.

$\blacktriangleright ~~$ A survey titled "Why we do mathematics"

Collection of some interesting Math

• Recently found an interesting paper on bijection between $\mathbb{N}$ and $\mathbb{Q}$ by Don Zagier.

• Awesome answer on Fewest steps to reach $200$ from $1$ using only $+1$ and $\times 2$

• When can we do induction?

• Playing with Partitions: Euler’s Pentagonal Theorem
• (This is for me) In free time will revisit this- https://math.stackexchange.com/a/3172047/579780 again.
• Are the primes compressible?
• Pollard's rho algorithm
• Baby step-giant step algorithm
• Relationship between Primes and Fibonacci Sequence
• Show that $(n+1)(n+2)\cdots 2n$ is divisible by $2^n$, but not by $2^{n+1}$
• Some limit problems
• Factoring 4th degree polynomial

Reading some philosophical books on Mathematics and Physics. In touch of some fundamental notions of topology, doing a course on Quantum Information.