What is the 10th prime number?
The 10th prime number is 29. The next prime is 31 (a gap of 2) and the one before is 23.
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 10th one is 29.
- 2
29 is prime because no prime up to ā29 ā 5.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 10th prime is close to 10 Ć ln(10) ā 23, and here it is 29.
- 4
29 is a twin prime: 29 and 31 are both prime.
Primes around the 10th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7 | 17 | 4 |
| 8 | 19 | 2 |
| 9 | 23 | 4 |
| 10 | 29 | 6 |
| 11 | 31 | 2 |
| 12 | 37 | 6 |
| 13 | 41 | 4 |
Questions
What is the 10th prime number?
29.
Which prime number is 29?
29 is the 10th prime number.
What is the sum of the first 10 primes?
129.