What is the 5th prime number?
The 5th prime number is 11. The next prime is 13 (a gap of 2) and the one before is 7.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 5th one is 11.
- 2
11 is prime because no prime up to ā11 ā 3.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5th prime is close to 5 Ć ln(5) ā 8.
- 4
11 is a twin prime: 11 and 13 are both prime.
Primes around the 5th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2 | 3 | 1 |
| 3 | 5 | 2 |
| 4 | 7 | 2 |
| 5 | 11 | 4 |
| 6 | 13 | 2 |
| 7 | 17 | 4 |
| 8 | 19 | 2 |
Questions
What is the 5th prime number?
11.
Which prime number is 11?
11 is the 5th prime number.
What is the sum of the first 5 primes?
28.