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Как да изчислим Prime Numbers

Какво е Prime Numbers?

A prime number is a whole number greater than 1 that has exactly two factors: 1 and itself. Primes are the "atoms" of arithmetic — every integer greater than 1 can be written as a unique product of primes (fundamental theorem of arithmetic).

Ръководство стъпка по стъпка

  1. 1Check if the number is greater than 1
  2. 2Try dividing by every integer from 2 up to √n
  3. 3If none divide evenly, the number is prime
  4. 4If any divide evenly, it is composite (not prime)

Worked Examples

Вход
17
Резултат
Prime
Not divisible by 2, 3
Вход
51
Резултат
Composite
51 = 3 × 17
Вход
97
Резултат
Prime
Not divisible by 2,3,5,7

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