Mathematician:Pafnuty Lvovich Chebyshev

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Russian mathematician whose work was mainly in the fields of probability, statistics and number theory.

He is best known for proving Bertrand's Postulate in $1850$. It has since been known as the Bertrand-Chebyshev Theorem.




  • Born: May 16, 1821, Okatovo, Borovsk, Kaluga, Russia
  • Died: December 8, 1894, St Petersburg, Russia

Theorems and Definitions

Results named for Pafnuty Lvovich Chebyshev can be found here.

Definitions of concepts named for Pafnuty Lvovich Chebyshev can be found here.


  • 1847: On integration by means of logarithms
  • 1867: On mean values
  • 1887: On two theorems concerning probability

Notable Quotes

To isolate mathematics from the practical demands of the sciences is to invite the sterility of a cow shut away from the bulls.

Critical View

He was the only man ever able to cope with the refractory character and erratic flow of prime numbers and confine the stream of their progression within algebraic limits, building up, if I may say so, banks on either side which that stream, devious and irregular as are its windings, can never overflow.
-- James Joseph Sylvester

Also known as

His name in Russian is presented as Пафну́тий Льво́вич Чебышёв.

His name can be seen transliterated into Latin script as Chebychev, Chebysev, Chebyshov, Tchebyshev, Tchebitchev, Tchebycheff or Tschebyscheff, according to the target language.

Some sources even use Čebyšev, but modern usage discourages the unnecessary use of diacritics.

Some sources render his middle name Livovich, but that may be a mistake.