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Composite number

A composite number is a positive integer that can be factored as a product of two or more prime numbers. Every integer except one and zero is either a prime number or a composite number. The integer 14 is a composite number because it can be factored as 2 × 7.

Properties

  • All even numbers greater than 2 are composite numbers.
  • All composite numbers are non-primes.
  • The smallest composite number is 4.
  • One has (n-1)! + 1\,\,\, \not\equiv \,\, 0 \pmod{n} for all composite numbers n\,\! greater than 4 (Wilson's theorem).
  • Also, (n-1)! \,\,\, \equiv \,\, 0 \pmod{n} for all composite numbers n\,\! greater than 4 (composite theorem).

01-04-2007 01:16:19
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