Thursday, April 3, 2008

Chebychev



From the French-language Wikipedia
TCHEBYCHEV, Pafnouti (1821-1894), Russian mathematician.

Tchebychev belongs to the Russian school of mathematics founded under Catherine the Great by Daniel Bernouilli and Euler. This school also includes his colleague Lobatchevsky, who initiated work in non-Euclidian geometry.

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In number theory, Tchebychev completed in 1848 a hypothesis from Gauss having to do with the increasing rarety of prime numbers. He demonstrated in 1850 a hypothesis proposed by Bertrand: For every whole number equal or greated than 2, there is a prime between n and 2n.
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It is easy to see this is true:
2 3 4
3 4 5 6
4 5 6 7 8
5 6 7 8 9 10

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