What is the 2382nd prime number?
The 2382nd prime number is 21187. The next prime is 21191 (a gap of 4) and the one before is 21179.
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 2382nd one is 21187.
- 2
21187 is prime because no prime up to ā21187 ā 145.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2382nd prime is close to 2382 Ć ln(2382) ā 18522, and here it is 21187.
- 4
21187 has no twin: neither 21185 nor 21189 is prime.
Primes around the 2382nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2379 | 21163 | 6 |
| 2380 | 21169 | 6 |
| 2381 | 21179 | 10 |
| 2382 | 21187 | 8 |
| 2383 | 21191 | 4 |
| 2384 | 21193 | 2 |
| 2385 | 21211 | 18 |
Questions
What is the 2382nd prime number?
21187.
Which prime number is 21187?
21187 is the 2382nd prime number.
What is the sum of the first 2382 primes?
23,642,797.