What is the 1632nd prime number?
The 1632nd prime number is 13799. The next prime is 13807 (a gap of 8) and the one before is 13789.
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 1632nd one is 13799.
- 2
13799 is prime because no prime up to ā13799 ā 117.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1632nd prime is close to 1632 Ć ln(1632) ā 12073, and here it is 13799.
- 4
13799 has no twin: neither 13797 nor 13801 is prime.
Primes around the 1632nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1629 | 13763 | 4 |
| 1630 | 13781 | 18 |
| 1631 | 13789 | 8 |
| 1632 | 13799 | 10 |
| 1633 | 13807 | 8 |
| 1634 | 13829 | 22 |
| 1635 | 13831 | 2 |
Questions
What is the 1632nd prime number?
13799.
Which prime number is 13799?
13799 is the 1632nd prime number.
What is the sum of the first 1632 primes?
10,536,577.