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March 2010
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prime number distribution

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The Riemann Hypothesis is probably the hardest unsolved problem in all of mathematics, and one of the most important. It has to do with prime numbers - the building blocks of arithmetic. Nick Mee, together with Sir Arthur C. Clarke, tells us about the patterns hiding inside numbers.

Tags: prime number : cryptography : number theory : Riemann hypothesis : prime number distribution : Arthur C Clarke : Fundamental theorem of arithmetic : zeta function : Riemann zeta function : prime number spiral


In the first of our tenth birthday year issues, Plus is celebrating the very best that maths has to offer. If you've ever wanted to fly with the birds and swim with the fishes, get the inside knowledge on great London landmarks or just enjoy going to the movies, then this is the issue for you. And we also say happy birthday to the great mathematician Leonard Euler.

Tags: prime number : Fermat's Last Theorem : fields medal : mathematics in the media : computer science : Poincare Conjecture : physics : search engine : Kepler's conjecture : plus birthday : prime number distribution


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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.

Tags: prime number : prime number search : prime number distribution : arithmetic progression