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Code to Zero

Find all 3 digit numbers such that by adding the first digit, the square of the second and the cube of the third you get the original number, for example 1 + 3^2 + 5^3 = 135.

Basic Rhythms

Explore a number pattern which has the same symmetries in different bases.

Learn about Number Bases

We are used to writing numbers in base ten, using 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. Eg. 75 means 7 tens and five units. This article explains how numbers can be written in any number base.

Binary Squares

Age 16 to 18
Challenge Level

If a number N is expressed in binary by using only 'ones,' what can you say about its square (in binary)?