For such enormous numbers, even Karatsuba's algorithm is too slow. A real breakthrough came in 1971 with the work of the German mathematicians Arnold Schönhage and Volker Strassen.

As a developer, you know how important algorithms are for solving problems and optimizing performance. But how do you communicate your algorithm's logic and purpose to other developers, especially ...

Learn about the basics of random number generation algorithms, and how they differ in quality, speed, and security. See some examples of common or well-known algorithms, and how they work.

Mathematicians have reportedly discovered a new way of multiplying two numbers together. The new technique is for really large numbers, and if it passes a peer-review, could be the fastest ...

The Luhn algorithm, also known as the "modulus 10" or "mod 10" algorithm, is a simple checksum formula used to validate various identification numbers such as credit card numbers, IMEI numbers, and ...

Generating a string of random numbers is easy. The hard part is proving that they’re random. As Dilbert creator Scott Adams once pointed out, “that’s the problem with randomness: you can ...

In other words, if their telephone number were 123-4567, their fax number would be 123-4568. By this way of thinking, 667 is the fax number of the beast, and so of cultural significance (the ...

But the quantum algorithm you devised has the potential … "If you start factoring 10-digit numbers then it's going to start getting scary" MIT's Peter Shor explains why he devised an ...