What is the 2366th prime number?
The 2366th prime number is 21023. The next prime is 21031 (a gap of 8) and the one before is 21019.
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 2366th one is 21023.
- 2
21023 is prime because no prime up to ā21023 ā 144.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2366th prime is close to 2366 Ć ln(2366) ā 18381, and here it is 21023.
- 4
21023 has no twin: neither 21021 nor 21025 is prime.
Primes around the 2366th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2363 | 21013 | 2 |
| 2364 | 21017 | 4 |
| 2365 | 21019 | 2 |
| 2366 | 21023 | 4 |
| 2367 | 21031 | 8 |
| 2368 | 21059 | 28 |
| 2369 | 21061 | 2 |
Questions
What is the 2366th prime number?
21023.
Which prime number is 21023?
21023 is the 2366th prime number.
What is the sum of the first 2366 primes?
23,304,875.