What is the 1634th prime number?
The 1634th prime number is 13829. The next prime is 13831 (a gap of 2) and the one before is 13807.
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 1634th one is 13829.
- 2
13829 is prime because no prime up to ā13829 ā 117.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1634th prime is close to 1634 Ć ln(1634) ā 12090, and here it is 13829.
- 4
13829 is a twin prime: 13829 and 13831 are both prime.
Primes around the 1634th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1631 | 13789 | 8 |
| 1632 | 13799 | 10 |
| 1633 | 13807 | 8 |
| 1634 | 13829 | 22 |
| 1635 | 13831 | 2 |
| 1636 | 13841 | 10 |
| 1637 | 13859 | 18 |
Questions
What is the 1634th prime number?
13829.
Which prime number is 13829?
13829 is the 1634th prime number.
What is the sum of the first 1634 primes?
10,564,213.