What is the 2631st prime number?
The 2631st prime number is 23633. The next prime is 23663 (a gap of 30) and the one before is 23629.
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 2631st one is 23633.
- 2
23633 is prime because no prime up to ā23633 ā 153.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2631st prime is close to 2631 Ć ln(2631) ā 20719, and here it is 23633.
- 4
23633 has no twin: neither 23631 nor 23635 is prime.
Primes around the 2631st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2628 | 23623 | 14 |
| 2629 | 23627 | 4 |
| 2630 | 23629 | 2 |
| 2631 | 23633 | 4 |
| 2632 | 23663 | 30 |
| 2633 | 23669 | 6 |
| 2634 | 23671 | 2 |
Questions
What is the 2631st prime number?
23633.
Which prime number is 23633?
23633 is the 2631st prime number.
What is the sum of the first 2631 primes?
29,223,274.