Diophantine N-Tuples
Can you explain why a sequence of operations always gives you perfect squares?
Can you explain why a sequence of operations always gives you perfect squares?
Data is sent in chunks of two different sizes - a yellow chunk has 5 characters and a blue chunk has 9 characters. A data slot of size 31 cannot be exactly filled with a combination of yellow and blue chunks, explore what sizes near to 31 can, or cannot, be exactly filled.
Show that the arithmetic mean, geometric mean and harmonic mean of a and b can be the lengths of the sides of a right-angles triangle if and only if a = bx^3, where x is the Golden Ratio.
This article explains how credit card numbers are defined and the check digit serves to verify their accuracy.
An introduction to the binomial coefficient, and exploration of some of the formulae it satisfies.
Peter Zimmerman, a Year 13 student at Mill Hill County High School in Barnet, London wrote this account of modulus arithmetic.
An account of methods for finding whether or not a number can be written as the sum of two or more squares or as the sum of two or more cubes.