What is the 1629th prime number?
The 1629th prime number is 13763. The next prime is 13781 (a gap of 18) and the one before is 13759.
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 1629th one is 13763.
- 2
13763 is prime because no prime up to ā13763 ā 117.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1629th prime is close to 1629 Ć ln(1629) ā 12048, and here it is 13763.
- 4
13763 has no twin: neither 13761 nor 13765 is prime.
Primes around the 1629th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1626 | 13751 | 22 |
| 1627 | 13757 | 6 |
| 1628 | 13759 | 2 |
| 1629 | 13763 | 4 |
| 1630 | 13781 | 18 |
| 1631 | 13789 | 8 |
| 1632 | 13799 | 10 |
Questions
What is the 1629th prime number?
13763.
Which prime number is 13763?
13763 is the 1629th prime number.
What is the sum of the first 1629 primes?
10,495,208.