## This Prime Generating Product generates successive prime factors

Any integer greater than 1 is called a prime number if and only if its positive factors are…

## A Possible Proof of Collatz Conjecture

Our reader Eswar Chellappa has sent his work on the solution of ‘3X+1’ problem, also called Collatz Conjecture.…

## My mobile number is a prime number

My personal mobile number 9565804301 is a prime number. What is a prime number?\$ Any integer p greater than 1 is…

Consider two natural numbers \$n_1\$ and \$n_2\$, out of which one is twice as large as the other.…

## Complete Elementary Analysis of Nested radicals

This is a continuation of the series of summer projects sponsored by department of science and technology, government…

## Smart Fallacies: i=1, 1= 2 and 1= 3

This mathematical fallacy is due to a simple assumption, that \$ -1=\dfrac{-1}{1}=\dfrac{1}{-1}\$ . Proceeding with \$ \dfrac{-1}{1}=\dfrac{1}{-1}\$ and…

## Four way valid expression

People really like to twist the numbers and digits bringing fun into life. For example, someone asks, “how…

## Interesting Egyptian Fraction Problem

Here is an interesting mathematical puzzle alike problem involving the use of Egyptian fractions, whose solution sufficiently uses…

## 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,…