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fundamental theorem of arithmetic
(redirected from Fundamental theorem of number theory)

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fundamental theorem of arithmetic

Fundamental principle of number theory proved by Carl Friedrich Gauss in 1801. It states that any integer greater than 1 can be expressed as the product of prime numbers in only one way.

fundamental theorem of arithmetic [¦fən·də¦ment·əl ¦thir·əm əv ə′rith·mə·tik]

(mathematics)

Every positive integer greater than 1 can be factored uniquely into the formP₁^n₁…P_i^n_i…P_k^n_k, where theP_iare primes, then_ipositive integers.

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