What is the 2394th prime number?
The 2394th prime number is 21319. The next prime is 21323 (a gap of 4) and the one before is 21317.
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 2394th one is 21319.
- 2
21319 is prime because no prime up to ā21319 ā 146.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2394th prime is close to 2394 Ć ln(2394) ā 18627, and here it is 21319.
- 4
21319 is a twin prime: 21317 and 21319 are both prime.
Primes around the 2394th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2391 | 21283 | 6 |
| 2392 | 21313 | 30 |
| 2393 | 21317 | 4 |
| 2394 | 21319 | 2 |
| 2395 | 21323 | 4 |
| 2396 | 21341 | 18 |
| 2397 | 21347 | 6 |
Questions
What is the 2394th prime number?
21319.
Which prime number is 21319?
21319 is the 2394th prime number.
What is the sum of the first 2394 primes?
23,897,865.