What is the 11th prime number?
The 11th prime number is 31. The next prime is 37 (a gap of 6) and the one before is 29.
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 11th one is 31.
- 2
31 is prime because no prime up to ā31 ā 5.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 11th prime is close to 11 Ć ln(11) ā 26, and here it is 31.
- 4
31 is a twin prime: 29 and 31 are both prime.
Primes around the 11th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8 | 19 | 2 |
| 9 | 23 | 4 |
| 10 | 29 | 6 |
| 11 | 31 | 2 |
| 12 | 37 | 6 |
| 13 | 41 | 4 |
| 14 | 43 | 2 |
Questions
What is the 11th prime number?
31.
Which prime number is 31?
31 is the 11th prime number.
What is the sum of the first 11 primes?
160.