What is the 1635th prime number?
The 1635th prime number is 13831. The next prime is 13841 (a gap of 10) and the one before is 13829.
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 1635th one is 13831.
- 2
13831 is prime because no prime up to ā13831 ā 117.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1635th prime is close to 1635 Ć ln(1635) ā 12098, and here it is 13831.
- 4
13831 is a twin prime: 13829 and 13831 are both prime.
Primes around the 1635th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1632 | 13799 | 10 |
| 1633 | 13807 | 8 |
| 1634 | 13829 | 22 |
| 1635 | 13831 | 2 |
| 1636 | 13841 | 10 |
| 1637 | 13859 | 18 |
| 1638 | 13873 | 14 |
Questions
What is the 1635th prime number?
13831.
Which prime number is 13831?
13831 is the 1635th prime number.
What is the sum of the first 1635 primes?
10,578,044.