What is the 2385th prime number?
The 2385th prime number is 21211. The next prime is 21221 (a gap of 10) and the one before is 21193.
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 2385th one is 21211.
- 2
21211 is prime because no prime up to ā21211 ā 145.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2385th prime is close to 2385 Ć ln(2385) ā 18548, and here it is 21211.
- 4
21211 has no twin: neither 21209 nor 21213 is prime.
Primes around the 2385th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2382 | 21187 | 8 |
| 2383 | 21191 | 4 |
| 2384 | 21193 | 2 |
| 2385 | 21211 | 18 |
| 2386 | 21221 | 10 |
| 2387 | 21227 | 6 |
| 2388 | 21247 | 20 |
Questions
What is the 2385th prime number?
21211.
Which prime number is 21211?
21211 is the 2385th prime number.
What is the sum of the first 2385 primes?
23,706,392.