What is the 1630th prime number?
The 1630th prime number is 13781. The next prime is 13789 (a gap of 8) and the one before is 13763.
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 1630th one is 13781.
- 2
13781 is prime because no prime up to ā13781 ā 117.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1630th prime is close to 1630 Ć ln(1630) ā 12056, and here it is 13781.
- 4
13781 has no twin: neither 13779 nor 13783 is prime.
Primes around the 1630th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1627 | 13757 | 6 |
| 1628 | 13759 | 2 |
| 1629 | 13763 | 4 |
| 1630 | 13781 | 18 |
| 1631 | 13789 | 8 |
| 1632 | 13799 | 10 |
| 1633 | 13807 | 8 |
Questions
What is the 1630th prime number?
13781.
Which prime number is 13781?
13781 is the 1630th prime number.
What is the sum of the first 1630 primes?
10,508,989.