What is the 6th prime number?
The 6th prime number is 13. The next prime is 17 (a gap of 4) and the one before is 11.
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 6th one is 13.
- 2
13 is prime because no prime up to ā13 ā 3.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6th prime is close to 6 Ć ln(6) ā 11, and here it is 13.
- 4
13 is a twin prime: 11 and 13 are both prime.
Primes around the 6th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3 | 5 | 2 |
| 4 | 7 | 2 |
| 5 | 11 | 4 |
| 6 | 13 | 2 |
| 7 | 17 | 4 |
| 8 | 19 | 2 |
| 9 | 23 | 4 |
Questions
What is the 6th prime number?
13.
Which prime number is 13?
13 is the 6th prime number.
What is the sum of the first 6 primes?
41.