What is the 2592nd prime number?
The 2592nd prime number is 23227. The next prime is 23251 (a gap of 24) and the one before is 23209.
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 2592nd one is 23227.
- 2
23227 is prime because no prime up to ā23227 ā 152.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2592nd prime is close to 2592 Ć ln(2592) ā 20374, and here it is 23227.
- 4
23227 has no twin: neither 23225 nor 23229 is prime.
Primes around the 2592nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2589 | 23201 | 4 |
| 2590 | 23203 | 2 |
| 2591 | 23209 | 6 |
| 2592 | 23227 | 18 |
| 2593 | 23251 | 24 |
| 2594 | 23269 | 18 |
| 2595 | 23279 | 10 |
Questions
What is the 2592nd prime number?
23227.
Which prime number is 23227?
23227 is the 2592nd prime number.
What is the sum of the first 2592 primes?
28,308,333.