What is the 1631st prime number?
The 1631st prime number is 13789. The next prime is 13799 (a gap of 10) and the one before is 13781.
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 1631st one is 13789.
- 2
13789 is prime because no prime up to ā13789 ā 117.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1631st prime is close to 1631 Ć ln(1631) ā 12064, and here it is 13789.
- 4
13789 has no twin: neither 13787 nor 13791 is prime.
Primes around the 1631st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1628 | 13759 | 2 |
| 1629 | 13763 | 4 |
| 1630 | 13781 | 18 |
| 1631 | 13789 | 8 |
| 1632 | 13799 | 10 |
| 1633 | 13807 | 8 |
| 1634 | 13829 | 22 |
Questions
What is the 1631st prime number?
13789.
Which prime number is 13789?
13789 is the 1631st prime number.
What is the sum of the first 1631 primes?
10,522,778.