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Modulus Arithmetic and a Solution to Differences
Peter Zimmerman, a Year 13 student at Mill Hill County High School
in Barnet, London wrote this account of modulus arithmetic.
Number theory
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articleSums of Squares and Sums of Cubes
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. -
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articlePowerful Properties
Yatir from Israel wrote this article on numbers that can be written as $ 2^n-n $ where n is a positive integer. -
articleGot It Article
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy. -
articleAn Introduction to Modular Arithmetic
An introduction to the notation and uses of modular arithmetic -
articleBinomial Coefficients
An introduction to the binomial coefficient, and exploration of some of the formulae it satisfies.
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articleAn Introduction to Number Theory
An introduction to some beautiful results in Number Theory.
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problemEuler's Squares
Age14 to 16Challenge level
Euler found four whole numbers such that the sum of any two of the numbers is a perfect square... -
problemFavouriteThere's a Limit
Age14 to 18Challenge level
Explore the continued fraction: 2+3/(2+3/(2+3/2+...)) What do you notice when successive terms are taken? What happens to the terms if the fraction goes on indefinitely?