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Browse Classroom Capsules and Notes

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In the decimal expansion of an irrational square root, not all digits are equally likely to appear.

Elementary derivation for probability of relative primality

This tongue-in-cheek article solves a variation of Fermat's last theorem.

This note links two previous papers on Mersenne primes and digital roots.

Use the double angle formula for the tangent to construct Pythagorean triples.

An alternative criterion to determine if a number is irrational

Find arbitrarily large patches of invisible lattice points.

A discrete counterpart of the double integral in terms of polar coordinates

Using binary numbers to compute periodic orbits

Another proof of the irrationality of \(\sqrt{2}\)

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