Fermat
Pierre de Fermat is Much More Than His Little and Last Theorem
A journey through Fermat’s pseudoprimes and Fermat numbers
Number Theory
Euler
About Euler’s Identity
It is so famous and well-known, that I feel adding any praise to it would only decrease its value :) It is often cited as one of the most beautiful equations ever, by maths funs and others as well.
Abstract Algebra
How Many Number Fields Are There?
Modern results on a problem from the 1800s.
Infinity
Number Of Numbers: Infinite Weirdness
How many numbers of each type are there? Can two infinities be equal? Can one infinity be larger than another infinity?
Number Theory
Two Palindromes
Two integers differ by 22. Each, when multiplied by its successor, yields an eight-digit palindrome. What is the smaller of the two?
Number Theory
Deriving and Understanding Binet’s Formula for the Fibonacci Sequence
The Fibonacci Sequence is one of the cornerstones of the math world. Fibonacci initially came up with the sequence in order to model the…
Open Problem
The Simplest Open Problem In Mathematics
“Mathematics may not be ready for such problems.”
Number Theory
Euclid’s Algorithm for Computing the Greatest Common Divisor
An algorithm from ancient Greece
Number Theory
Another Derivation of Euler’s Fabulous Formula
Leonhard Euler (15 April 1707–18 September 1783) was a Swiss mathematician, who is considered to be one the greatest mathematicians of all…
Prime Numbers
Primes and The Powers of Two
Relating the powers of two with primes and perfect numbers
Number Theory
The Discovery Of The First Irrational Number
How Hippasus of Metapontum ended up being drowned at sea for coming up with a groundbreaking proof.
Number Theory
The Celebrated Harmonic Numbers and How to Approximate Them
We discuss the famous harmonic sum and describe a simple way to approximate it.