What is the 2392nd prime number?
The 2392nd prime number is 21313. The next prime is 21317 (a gap of 4) and the one before is 21283.
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 2392nd one is 21313.
- 2
21313 is prime because no prime up to ā21313 ā 145.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2392nd prime is close to 2392 Ć ln(2392) ā 18609, and here it is 21313.
- 4
21313 has no twin: neither 21311 nor 21315 is prime.
Primes around the 2392nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2389 | 21269 | 22 |
| 2390 | 21277 | 8 |
| 2391 | 21283 | 6 |
| 2392 | 21313 | 30 |
| 2393 | 21317 | 4 |
| 2394 | 21319 | 2 |
| 2395 | 21323 | 4 |
Questions
What is the 2392nd prime number?
21313.
Which prime number is 21313?
21313 is the 2392nd prime number.
What is the sum of the first 2392 primes?
23,855,229.