The least non-negative prime integer is:

Concept

A prime number is a positive integer greater than 1 that has exactly two distinct positive divisors: 1 and itself. To find the least non-negative prime integer, test eligible integers in increasing order against this definition.

Application

1. 0 is not greater than 1, so it is not prime.

2. 1 is not greater than 1 and has only one positive divisor, so it is not prime.

3. 2 is greater than 1 and its only positive divisors are 1 and 2, so it is prime.

Contrast

• 0 fails the greater-than-1 condition.

• 1 has only one positive divisor.

• 3 is prime, but it is not the least prime integer.

Result

Therefore, the least non-negative prime integer is 2.