What is the 2595th prime number?
The 2595th prime number is 23279. The next prime is 23291 (a gap of 12) and the one before is 23269.
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 2595th one is 23279.
- 2
23279 is prime because no prime up to ā23279 ā 152.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2595th prime is close to 2595 Ć ln(2595) ā 20400, and here it is 23279.
- 4
23279 has no twin: neither 23277 nor 23281 is prime.
Primes around the 2595th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2592 | 23227 | 18 |
| 2593 | 23251 | 24 |
| 2594 | 23269 | 18 |
| 2595 | 23279 | 10 |
| 2596 | 23291 | 12 |
| 2597 | 23293 | 2 |
| 2598 | 23297 | 4 |
Questions
What is the 2595th prime number?
23279.
Which prime number is 23279?
23279 is the 2595th prime number.
What is the sum of the first 2595 primes?
28,378,132.