Is 937 a prime number?

937 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 937 is about 30.610.

Thus, the square root of 937 is not an integer, and therefore 937 is not a square number.

Anyway, 937 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 937) is the result of the product of this number (937) by itself (i.e., 937 × 937); the square of 937 is sometimes called "raising 937 to the power 2", or "937 squared".

The square of 937 is 877 969 because 937 × 937 = 937² = 877 969.

As a consequence, 937 is the square root of 877 969.

937 is a number with 3 digits.

The multiples of 937 are all integers evenly divisible by 937, that is all numbers such that the remainder of the division by 937 is zero. There are infinitely many multiples of 937. The smallest multiples of 937 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 937 too, since 0 × 937 = 0
• 937: indeed, 937 is a multiple of itself, since 937 is evenly divisible by 937 (we have 937 / 937 = 1, so the remainder of this division is indeed zero)
• 1 874: indeed, 1 874 = 937 × 2
• 2 811: indeed, 2 811 = 937 × 3
• 3 748: indeed, 3 748 = 937 × 4
• 4 685: indeed, 4 685 = 937 × 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 937). 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 30.610). 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: …935, 936
• Following numbers: 938, 939…

Nearest numbers from 937

• Preceding prime number: 929
• Following prime number: 941

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• 937 est-il un nombre premier ?