What is the 2629th prime number?
The 2629th prime number is 23627. The next prime is 23629 (a gap of 2) and the one before is 23623.
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 2629th one is 23627.
- 2
23627 is prime because no prime up to ā23627 ā 153.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2629th prime is close to 2629 Ć ln(2629) ā 20702, and here it is 23627.
- 4
23627 is a twin prime: 23627 and 23629 are both prime.
Primes around the 2629th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2626 | 23603 | 4 |
| 2627 | 23609 | 6 |
| 2628 | 23623 | 14 |
| 2629 | 23627 | 4 |
| 2630 | 23629 | 2 |
| 2631 | 23633 | 4 |
| 2632 | 23663 | 30 |
Questions
What is the 2629th prime number?
23627.
Which prime number is 23627?
23627 is the 2629th prime number.
What is the sum of the first 2629 primes?
29,176,012.