A Possible Proof of Collatz Conjecture
Here’s something that’s been sitting in my inbox for a while: a reader submission claiming to prove one of mathematics’ most notorious unsolved problems. Eswar…
Number Theory
Delving into the world of mathematics, this section focuses on number theory, offering insights, problems, and discussions for math enthusiasts and scholars.
Complete Elementary Analysis of Nested radicals
This is a continuation of the series of summer projects sponsored by department of science and technology, government of India. In this project work, I…
Euler’s (Prime to) Prime Generating Equation
The greatest number theorist in mathematical universe, Leonhard Euler had discovered some formulas and relations in number theory, which were based on practices and were…
Irrational Numbers and The Proofs of their Irrationality
How do you prove a number is irrational? You can’t just look at a number and declare it irrational. You can’t check infinitely many decimal…
On Ramanujan’s Nested Radicals
In 1911, a 23-year-old clerk from Madras posed a problem in the Journal of the Indian Mathematical Society that stumped professional mathematicians for months. The…
Find the Day of a Date using this Calendar Formula
You can figure out what day of the week any date falls on. No calendar needed. Just arithmetic. I’m not talking about memorizing tricks or…
Numbers – The Basic Introduction
Numbers are the alphabet of mathematics. Logic is the grammar. And everything we build in math, from simple arithmetic to quantum field theory, comes from…
Do you multiply this way!
Before my college days I used to multiply this way. But as time passed, I learned new things. In a Hindi magazine named “Bhaskar Lakshya”, I…
Just another way to Multiply
Multiplication is probably the most important elementary operation in mathematics; even more important than usual addition. Every math-guy has its own style of multiplying numbers.…
Derivative of x squared is 2x or x ? Where is the fallacy?
Derivative of x squared As we know, the derivative of x squared, i.e., differentiation of $ x^2$ , with respect to $ x$, is $…
Solving Ramanujan’s Puzzling Problem
Here’s a problem that looks impossible at first glance. You’ve got infinitely many nested square roots, each level multiplied by an increasing integer. How do…
