There are clearly many interesting whole numbers. For instance, 2 is the only even prime number, 3 is the first...

Continue reading...# proof by contradiction

## How many Primes?

Are there infinitely many primes? We’ll give a proof, due to Euclid, to show that there must be infinitely many primes....

Continue reading...## e is irrational

If e were rational, then e = n/m for some integers m, n. So then 1/e = m/n. But the series expansion for 1/e is 1/e =...

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