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5 is the third prime number and the third single-digit prime. 5's prime factors are 1 and 5.

It is also the second Fermat prime. Due to the fact that the previous and next prime are both two numbers away, it is the first balanced prime.

## Proofs

• — 5 can be divided by 1.
• — 5 cannot be divided by 2-4.
• — 5 can be divided by 5.
• Therefore it has 2 factors.

## As an Exponent of Mersenne Number

25 - 1, which is the number 31, is a prime number. It is the 3rd Mersenne Prime.

## Relationship with other numbers

### The numbers before

• The previous odd number, 3, is a prime number.
• There are no odd numbers between 3 and 5. As a result, they are twin primes.
• 2 is the first prime number. It is the only even prime number.
• 1, the number before 2, is not a prime number.

### The numbers after

• The next odd number, 7, is a prime number.
• There are no odd numbers between 5 and 7. As a result, they are twin primes.
• 9, the odd number following 7, is a square number. It is the first odd composite number.
• 11, the odd number following 9, is a prime number.
• 5 and 11 are six numbers apart, therefore, they are sexy primes.

## Trivia

• 5 is the only number that is part of two twin prime pairs, (3, 5) and (5, 7).