Is 599 a prime number?

599 is an odd number, because it is not evenly divisible by 2.

Find out more:

• What is an even number?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 599 is about 24.474.

Thus, the square root of 599 is not an integer, and therefore 599 is not a square number.

Anyway, 599 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 599) is the result of the product of this number (599) by itself (i.e., 599 × 599); the square of 599 is sometimes called "raising 599 to the power 2", or "599 squared".

The square of 599 is 358 801 because 599 × 599 = 599² = 358 801.

As a consequence, 599 is the square root of 358 801.

599 is a number with 3 digits.

The multiples of 599 are all integers evenly divisible by 599, that is all numbers such that the remainder of the division by 599 is zero. There are infinitely many multiples of 599. The smallest multiples of 599 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 599 too, since 0 × 599 = 0
• 599: indeed, 599 is a multiple of itself, since 599 is evenly divisible by 599 (we have 599 / 599 = 1, so the remainder of this division is indeed zero)
• 1 198: indeed, 1 198 = 599 × 2
• 1 797: indeed, 1 797 = 599 × 3
• 2 396: indeed, 2 396 = 599 × 4
• 2 995: indeed, 2 995 = 599 × 5
• etc.

To determine the primality of a number, several algorithms can be used. The most naive technique is to test all divisors strictly smaller to the number of which we want to determine the primality (here 599). First, we can eliminate all even numbers greater than 2 (and hence 4, 6, 8…). Then, we can stop this check when we reach the square root of the number of which we want to determine the primality (here the square root is about 24.474). Historically, the sieve of Eratosthenes (dating from the Greek mathematics) implements this technique in a relatively efficient manner.

More modern techniques include the sieve of Atkin, probabilistic algorithms, and the cyclotomic AKS test.

• Preceding numbers: …597, 598
• Following numbers: 600, 601…

Nearest numbers from 599

• Preceding prime number: 593
• Following prime number: 601

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• 599 est-il un nombre premier ?