arithmetic progression

Easy as 1, 2, 3?

The natural numbers, 1, 2, 3, 4, ..., are nice. So what could be nicer than discovering interesting patterns within them?

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The Abel Prize 2012
This year's Abel Prize goes to Endre Szemerédi for his "fundamental contributions to discrete mathematics and theoretical computer science."
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Sundaram's Sieve
The prime numbers are the atoms amongst the integers, and while we know that there are infinitely many of them, there's no general formula that generates them all. Julian Havil looks at a little-known algorithm that sieves out all primes up to a given number, and which is astonishing in its simplicity.
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