Is 587 a prime number?

587 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 587 is about 24.228.

Thus, the square root of 587 is not an integer, and therefore 587 is not a square number.

Anyway, 587 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 587) is the result of the product of this number (587) by itself (i.e., 587 × 587); the square of 587 is sometimes called "raising 587 to the power 2", or "587 squared".

The square of 587 is 344 569 because 587 × 587 = 587² = 344 569.

As a consequence, 587 is the square root of 344 569.

587 is a number with 3 digits.

The multiples of 587 are all integers evenly divisible by 587, that is all numbers such that the remainder of the division by 587 is zero. There are infinitely many multiples of 587. The smallest multiples of 587 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 587 too, since 0 × 587 = 0
• 587: indeed, 587 is a multiple of itself, since 587 is evenly divisible by 587 (we have 587 / 587 = 1, so the remainder of this division is indeed zero)
• 1 174: indeed, 1 174 = 587 × 2
• 1 761: indeed, 1 761 = 587 × 3
• 2 348: indeed, 2 348 = 587 × 4
• 2 935: indeed, 2 935 = 587 × 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 587). 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 24.228). 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: …585, 586
• Following numbers: 588, 589…

Nearest numbers from 587

• Preceding prime number: 577
• Following prime number: 593

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• 587 est-il un nombre premier ?