What is the 1633rd prime number?
The 1633rd prime number is 13807. The next prime is 13829 (a gap of 22) and the one before is 13799.
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 1633rd one is 13807.
- 2
13807 is prime because no prime up to ā13807 ā 117.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1633rd prime is close to 1633 Ć ln(1633) ā 12081, and here it is 13807.
- 4
13807 has no twin: neither 13805 nor 13809 is prime.
Primes around the 1633rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1630 | 13781 | 18 |
| 1631 | 13789 | 8 |
| 1632 | 13799 | 10 |
| 1633 | 13807 | 8 |
| 1634 | 13829 | 22 |
| 1635 | 13831 | 2 |
| 1636 | 13841 | 10 |
Questions
What is the 1633rd prime number?
13807.
Which prime number is 13807?
13807 is the 1633rd prime number.
What is the sum of the first 1633 primes?
10,550,384.