What is the 2594th prime number?
The 2594th prime number is 23269. The next prime is 23279 (a gap of 10) and the one before is 23251.
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 2594th one is 23269.
- 2
23269 is prime because no prime up to ā23269 ā 152.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2594th prime is close to 2594 Ć ln(2594) ā 20391, and here it is 23269.
- 4
23269 has no twin: neither 23267 nor 23271 is prime.
Primes around the 2594th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2591 | 23209 | 6 |
| 2592 | 23227 | 18 |
| 2593 | 23251 | 24 |
| 2594 | 23269 | 18 |
| 2595 | 23279 | 10 |
| 2596 | 23291 | 12 |
| 2597 | 23293 | 2 |
Questions
What is the 2594th prime number?
23269.
Which prime number is 23269?
23269 is the 2594th prime number.
What is the sum of the first 2594 primes?
28,354,853.