What is the 2384th prime number?
The 2384th prime number is 21193. The next prime is 21211 (a gap of 18) and the one before is 21191.
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 2384th one is 21193.
- 2
21193 is prime because no prime up to ā21193 ā 145.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2384th prime is close to 2384 Ć ln(2384) ā 18539, and here it is 21193.
- 4
21193 is a twin prime: 21191 and 21193 are both prime.
Primes around the 2384th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2381 | 21179 | 10 |
| 2382 | 21187 | 8 |
| 2383 | 21191 | 4 |
| 2384 | 21193 | 2 |
| 2385 | 21211 | 18 |
| 2386 | 21221 | 10 |
| 2387 | 21227 | 6 |
Questions
What is the 2384th prime number?
21193.
Which prime number is 21193?
21193 is the 2384th prime number.
What is the sum of the first 2384 primes?
23,685,181.