Fermat's Last Theorem

Johann Bernoulli was born July 27, 1667 in Basel Switzerland. He was the tenth born child of a wealthy, prominent Swiss family. His father...

Jacob Bernoulli was the oldest of the famous Bernoulli mathematicians. His younger brother Johann and his nephew Daniel all went on to becom...

In today's blog, I will use the zeta function to answer the question: what are the odds that two integers selected at random are relat...

In today's blog, I will show that the sum of the reciprocal of the primes is divergent, that is, it does not have a limit. This was firs...

In today's blog, I show the proof that ∑ 1/n 2 = π 2 /6 . For background on Basel's problem and Leonhard Euler 's technique fo...

Leonhard Euler first gained fame by his solution to what has been called the Basel Problem (named after Basel, Switzerland where the proble...

One of the major breakthroughs in Analytic Number Theory came with Leonhard Euler's Product Formula (see Theorem 4 below). Associated...