What is the 2367th prime number?
The 2367th prime number is 21031. The next prime is 21059 (a gap of 28) and the one before is 21023.
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 2367th one is 21031.
- 2
21031 is prime because no prime up to ā21031 ā 145.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2367th prime is close to 2367 Ć ln(2367) ā 18390, and here it is 21031.
- 4
21031 has no twin: neither 21029 nor 21033 is prime.
Primes around the 2367th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2364 | 21017 | 4 |
| 2365 | 21019 | 2 |
| 2366 | 21023 | 4 |
| 2367 | 21031 | 8 |
| 2368 | 21059 | 28 |
| 2369 | 21061 | 2 |
| 2370 | 21067 | 6 |
Questions
What is the 2367th prime number?
21031.
Which prime number is 21031?
21031 is the 2367th prime number.
What is the sum of the first 2367 primes?
23,325,906.