coprime

English

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Etymology

From co- +‎ prime.

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Adjective

coprime (not comparable)

  1. (number theory, of two or more positive integers) Having no positive integer factors in common, aside from 1.
    Synonym: relatively prime
    24 and 35 are coprime.
  2. (number theory, of a positive integer) Having no positive integer factors, aside from 1, in common with one or more specified other positive integers.
    Synonym: relatively prime
    24 is coprime to 35.
  3. (algebra, by extension, of two or more polynomials) Whose greatest common divisor is a nonzero constant (i.e., polynomial of degree 0).
  4. (ring theory, by extension) (of two or more ideals of a ring) Whose sum is the whole ring; (of two or more elements of a ring) generating the whole ring.

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