University of Illinois at Urbana-Champaign
Rare Book Room Exhibit

Chebyshev proved an important theorem about prime numbers. Let Pi (x) denote the number of primes ‹=x. Then there are positive numbers C-1 and C2 such that C-1x/ log x‹p(x) ‹C-2x/ log x for all x›=2. Besides number theory Chebyshev worked on a wide range of scientific topics including probability theory and mechanics. At one time his book Theory of Congruences (Theorie der Congruenzen) was used as a textbook in Russian universities.

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