What is the 2388th prime number?
The 2388th prime number is 21247. The next prime is 21269 (a gap of 22) and the one before is 21227.
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 2388th one is 21247.
- 2
21247 is prime because no prime up to ā21247 ā 145.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2388th prime is close to 2388 Ć ln(2388) ā 18574, and here it is 21247.
- 4
21247 has no twin: neither 21245 nor 21249 is prime.
Primes around the 2388th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2385 | 21211 | 18 |
| 2386 | 21221 | 10 |
| 2387 | 21227 | 6 |
| 2388 | 21247 | 20 |
| 2389 | 21269 | 22 |
| 2390 | 21277 | 8 |
| 2391 | 21283 | 6 |
Questions
What is the 2388th prime number?
21247.
Which prime number is 21247?
21247 is the 2388th prime number.
What is the sum of the first 2388 primes?
23,770,087.