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Fermat's Theorem |
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Fermat's theorem [′fer‚mäz ‚thir·əm]
(mathematics) The proposition that, ifpis a prime number andais a positive integer which is not divisible byp, thenap-1-1 is divisible byp. Fermat’s Theorem (or Fermat’s lesser theorem), a fundamental theorem of number theory. The theorem states that if p is a prime number and a is a whole number not divisible by p, then ap–1 – 1 is divisible by p—that is, ap–1 ≡ 1 (mod p). The theorem was set forth by P. Fermat without proof; the first proof was given by L. Euler. Want to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit the webmaster's page for free fun content. |
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