An Application of the LTE lemma and Fermat’s Little Theorem
Here, I am trying to determine all integers \(n > 1\) such that \(\frac{2^n+1}{n^2}\) is an integer.
Recent posts
Integration by Laplace Transform
Laplace Transform is usually used to “decompose” a function into its constituents, or to solve differential equations. However, it can also be used to solve ...
Euler’s Totient function, Reduced Totient function and Carmichael Number
This post is a gentle introduction on the famous theorems in Number Theory.
Theorema Egregium — The reason why all maps are wrong
Theorema Egregium states that isometric surfaces have the same gauss(ian) curvature. Equivalently, surfaces with different gauss curvature are not isometric ...
Why is Momentum Conserved?
In this article we explore the conservation of momentum using Lagrangian Dynamics. Momentum in Physics