Prime Numbers – Cantor's Archive

Prime Numbers

Mersenne Primes

Number Mysteries and the Hunt for Large Primes

Prime Numbers

The Goldbach Conjecture

An Equivalent Formulation of an Unsolved Mystery

Number Theory

The Euler Totient Function

A Probabilistic Approach

Field Theory

A Finite Number Of “Numbers”

What exactly is arithmetic on a field of numbers which are merely elements in some set?

Pi

A slice of π

π is ubiquitous both in mathematics and physics. Its appearance in some contexts are intuitive to grasp. Others require intellectual contortion, a mind-bending that defies all intuition.

Fermat

Pierre de Fermat is Much More Than His Little and Last Theorem

A journey through Fermat’s pseudoprimes and Fermat numbers

Prime Numbers

Primes and The Powers of Two

Relating the powers of two with primes and perfect numbers

Prime Numbers

Erdős’ Proof of the Infinitude of Primes

Let’s take a look at an unusual proof that there are infinitely many prime numbers.

Topology

The Hardest Math Problems

Six Difficult Ways of Becoming a Millionaire

Prime Numbers

How to Prove the Infinity of Primes

Two simple proofs about the infinity of primes

Prime Numbers

Discovering Zero Among the Prime Numbers

It was a big surprise discovering zero when I was really looking for prime numbers. Back in 1992, I had a simple computer at my disposal …

Prime Numbers

The Twin Prime Conjecture

Are there infinitely many primes p such that p + 2 is prime?