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.

Screenshot Via YouTube While the box method is essentially the same as the standard algorithm, it does a much nicer job of illustrating what's going on in a multiple-digit multiplication problem ...

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 ...