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March 2010
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Riemann hypothesis

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Can Dan Goldston and Cem Yalcin Yildrim repair the hole in their proof to make the biggest breakthrough in prime number theory for 80 years?

Tags: prime number : mathematics in the media : Clay Institute Millennium Prize Problems : Riemann hypothesis : twin prime conjecture


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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


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The number chosen by the England captain for his Real Madrid shirt is rich in mysterious connotations. But mathematician Marcus du Sautoy backs a new theory to explain why Beckham has plumped for number 23.

Tags: prime number : encryption : Riemann hypothesis : internet security


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Following on from his article 'The prime number lottery' in last issue of Plus, Marcus du Sautoy continues his exploration of the greatest unsolved problem of mathematics: The Riemann Hypothesis.

Tags: prime number : mathematics and music : hilbert problems : Riemann hypothesis : Riemann zeta function : logarithmic integral : harmonic : imaginary number


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Marcus du Sautoy begins a two part exploration of the greatest unsolved problem of mathematics: The Riemann Hypothesis. In the first part, we find out how the German mathematician Gauss, aged only 15, discovered the dice that Nature used to chose the primes.

Tags: prime number : Fibonacci number : logarithm : e : hilbert problems : Riemann hypothesis


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Regular Plus contributor Lewis Dartnell reports on the scramble for million-dollar prizes that made mathematical headlines at the BA Festival of Science in September 2004.

Tags: Poincare Conjecture : Clay Institute Millennium Prize Problems : P versus NP : Riemann hypothesis


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Lewis Dartnell reports on what made mathematical headlines at the BA Festival of Science.

Tags: Poincare Conjecture : Clay Institute Millennium Prize Problems : P versus NP : Riemann hypothesis


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The first third degree transcendental L-function

Tags: prime number : Riemann hypothesis : Riemann zeta function