What is the 2597th prime number?
The 2597th prime number is 23293. The next prime is 23297 (a gap of 4) and the one before is 23291.
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 2597th one is 23293.
- 2
23293 is prime because no prime up to ā23293 ā 152.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2597th prime is close to 2597 Ć ln(2597) ā 20418, and here it is 23293.
- 4
23293 is a twin prime: 23291 and 23293 are both prime.
Primes around the 2597th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2594 | 23269 | 18 |
| 2595 | 23279 | 10 |
| 2596 | 23291 | 12 |
| 2597 | 23293 | 2 |
| 2598 | 23297 | 4 |
| 2599 | 23311 | 14 |
| 2600 | 23321 | 10 |
Questions
What is the 2597th prime number?
23293.
Which prime number is 23293?
23293 is the 2597th prime number.
What is the sum of the first 2597 primes?
28,424,716.