What is the 2400th prime number?
The 2400th prime number is 21383. The next prime is 21391 (a gap of 8) and the one before is 21379.
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 2400th one is 21383.
- 2
21383 is prime because no prime up to ā21383 ā 146.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2400th prime is close to 2400 Ć ln(2400) ā 18680, and here it is 21383.
- 4
21383 has no twin: neither 21381 nor 21385 is prime.
Primes around the 2400th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2397 | 21347 | 6 |
| 2398 | 21377 | 30 |
| 2399 | 21379 | 2 |
| 2400 | 21383 | 4 |
| 2401 | 21391 | 8 |
| 2402 | 21397 | 6 |
| 2403 | 21401 | 4 |
Questions
What is the 2400th prime number?
21383.
Which prime number is 21383?
21383 is the 2400th prime number.
What is the sum of the first 2400 primes?
24,026,015.