Is 5001 a prime number?

5 001 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 5 001 is about 70.718.

Thus, the square root of 5 001 is not an integer, and therefore 5 001 is not a square number.

The square of a number (here 5 001) is the result of the product of this number (5 001) by itself (i.e., 5 001 × 5 001); the square of 5 001 is sometimes called "raising 5 001 to the power 2", or "5 001 squared".

The square of 5 001 is 25 010 001 because 5 001 × 5 001 = 5 001² = 25 010 001.

As a consequence, 5 001 is the square root of 25 010 001.

5 001 is a number with 4 digits.

The multiples of 5 001 are all integers evenly divisible by 5 001, that is all numbers such that the remainder of the division by 5 001 is zero. There are infinitely many multiples of 5 001. The smallest multiples of 5 001 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 5 001 too, since 0 × 5 001 = 0
• 5 001: indeed, 5 001 is a multiple of itself, since 5 001 is evenly divisible by 5 001 (we have 5 001 / 5 001 = 1, so the remainder of this division is indeed zero)
• 10 002: indeed, 10 002 = 5 001 × 2
• 15 003: indeed, 15 003 = 5 001 × 3
• 20 004: indeed, 20 004 = 5 001 × 4
• 25 005: indeed, 25 005 = 5 001 × 5
• etc.

• Preceding numbers: …4 999, 5 000
• Following numbers: 5 002, 5 003…

Nearest numbers from 5 001

• Preceding prime number: 4 999
• Following prime number: 5 003

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• 5 001 est-il un nombre premier ?