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www.johndcook.com
| | awwalker.com
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| | Classification theorems of Euler, Lagrange, and Legendre describe the sets of integers that can be written as the sum of 2, 3, and 4 squares. In the last two cases, it follows easily that the density of these sets are 5/6 and 1. The question of density is not so simple in the case of...
| | www.kuniga.me
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| | NP-Incompleteness:
| | thatsmaths.com
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| | The Riemann Hypothesis Perhaps the greatest unsolved problem in mathematics is to explain the distribution of the prime numbers. The overall ``thinning out'' of the primes less than some number $latex {N}&fg=000000$, as $latex {N}&fg=000000$ increases, is well understood, and is demonstrated by the Prime Number Theorem (PNT). In its simplest form, PNT states that...
| | rjlipton.com
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| "If I were to awaken after having slept a thousand years, my first question would be: has the Riemann Hypothesis been proven?" - David Hilbert Steklov Institute memorial page Sergei Voronin was an expert in number theory, who studied the Riemann zeta function, but who sadly died young over twenty years ago. We discussed his...