Is 20000003 a prime number?

20 000 003 is an odd number, because it is not evenly divisible by 2.

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• 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 20 000 003 is about 4 472.136.

Thus, the square root of 20 000 003 is not an integer, and therefore 20 000 003 is not a square number.

Anyway, 20 000 003 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 20 000 003) is the result of the product of this number (20 000 003) by itself (i.e., 20 000 003 × 20 000 003); the square of 20 000 003 is sometimes called "raising 20 000 003 to the power 2", or "20 000 003 squared".

The square of 20 000 003 is 400 000 120 000 009 because 20 000 003 × 20 000 003 = 20 000 003² = 400 000 120 000 009.

As a consequence, 20 000 003 is the square root of 400 000 120 000 009.

20 000 003 is a number with 8 digits.

The multiples of 20 000 003 are all integers evenly divisible by 20 000 003, that is all numbers such that the remainder of the division by 20 000 003 is zero. There are infinitely many multiples of 20 000 003. The smallest multiples of 20 000 003 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 20 000 003 too, since 0 × 20 000 003 = 0
• 20 000 003: indeed, 20 000 003 is a multiple of itself, since 20 000 003 is evenly divisible by 20 000 003 (we have 20 000 003 / 20 000 003 = 1, so the remainder of this division is indeed zero)
• 40 000 006: indeed, 40 000 006 = 20 000 003 × 2
• 60 000 009: indeed, 60 000 009 = 20 000 003 × 3
• 80 000 012: indeed, 80 000 012 = 20 000 003 × 4
• 100 000 015: indeed, 100 000 015 = 20 000 003 × 5
• etc.

• Preceding numbers: …20 000 001, 20 000 002
• Following numbers: 20 000 004, 20 000 005…

Nearest numbers from 20 000 003

• Preceding prime number: 19 999 999
• Following prime number: 20 000 023

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• 20 000 003 est-il un nombre premier ?