What is the 2630th prime number?
The 2630th prime number is 23629. The next prime is 23633 (a gap of 4) and the one before is 23627.
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 2630th one is 23629.
- 2
23629 is prime because no prime up to ā23629 ā 153.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2630th prime is close to 2630 Ć ln(2630) ā 20711, and here it is 23629.
- 4
23629 is a twin prime: 23627 and 23629 are both prime.
Primes around the 2630th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2627 | 23609 | 6 |
| 2628 | 23623 | 14 |
| 2629 | 23627 | 4 |
| 2630 | 23629 | 2 |
| 2631 | 23633 | 4 |
| 2632 | 23663 | 30 |
| 2633 | 23669 | 6 |
Questions
What is the 2630th prime number?
23629.
Which prime number is 23629?
23629 is the 2630th prime number.
What is the sum of the first 2630 primes?
29,199,641.