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relatively prime

   Also found in: Wikipedia 0.03 sec.
relatively prime [′rel·ə‚tiv·lē ′prīm]
(mathematics)
Integersmandnare relatively prime if there are integerspandqso thatpm+qn= 1; equivalently, if they have no common factors other than 1.

(mathematics)relatively prime - Having no common divisors (greater than 1).

Two numbers are said to be relativey prime if there is no number greater than unity that divides both of them evenly.

For example, 10 and 33 are relativly prime. 15 and 33 are not relatively prime, since 3 is a divisor of both.


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The numbers also fit the following formula for finding Pythagorean triples: a = 2uv, b = u2 - v2, and c = u2 + v2, where u and v are relatively prime, one number is odd while the other is even, and u is greater than v.
In 1837, Dirichlet (1805-1859) proved that an arithmetic progression {a + nb}, where a and b are relatively prime, contains an infinite number of primes.
 
 
 
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