What is the 2399th prime number?
The 2399th prime number is 21379. The next prime is 21383 (a gap of 4) and the one before is 21377.
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 2399th one is 21379.
- 2
21379 is prime because no prime up to ā21379 ā 146.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2399th prime is close to 2399 Ć ln(2399) ā 18671, and here it is 21379.
- 4
21379 is a twin prime: 21377 and 21379 are both prime.
Primes around the 2399th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2396 | 21341 | 18 |
| 2397 | 21347 | 6 |
| 2398 | 21377 | 30 |
| 2399 | 21379 | 2 |
| 2400 | 21383 | 4 |
| 2401 | 21391 | 8 |
| 2402 | 21397 | 6 |
Questions
What is the 2399th prime number?
21379.
Which prime number is 21379?
21379 is the 2399th prime number.
What is the sum of the first 2399 primes?
24,004,632.