What is the 2304th prime number?
The 2304th prime number is 20393. The next prime is 20399 (a gap of 6) and the one before is 20389.
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 2304th one is 20393.
- 2
20393 is prime because no prime up to ā20393 ā 142.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2304th prime is close to 2304 Ć ln(2304) ā 17838, and here it is 20393.
- 4
20393 has no twin: neither 20391 nor 20395 is prime.
Primes around the 2304th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2301 | 20359 | 2 |
| 2302 | 20369 | 10 |
| 2303 | 20389 | 20 |
| 2304 | 20393 | 4 |
| 2305 | 20399 | 6 |
| 2306 | 20407 | 8 |
| 2307 | 20411 | 4 |
Questions
What is the 2304th prime number?
20393.
Which prime number is 20393?
20393 is the 2304th prime number.
What is the sum of the first 2304 primes?
22,019,557.