You're probably familiar with Fibonacci series of numbers, first analyzed in a published manuscript by the 13th-century mathematician Leonardo, son of Fibonacci of Pisa (in what is now Italy). The ...

All mainstream credit card numbers obey a mathematical trick designed to catch the most common typos. It’s called the Luhn ...

Prime numbers are all the rage these days. I can tell something’s up when random people start asking me about the randomness of primes—without even ...

Karatsuba’s divide-and-conquer multiplication algorithm takes advantage of this saving. Consider a multiplication algorithm that parallels the way multiplication of complex numbers works.

We have constructed a Carmichael number with 10,333,229,505 prime factors, and have also constructed Carmichael numbers with k prime factors for every k between 3 and 19,565,220. These computations ...