What is the 2370th prime number?
The 2370th prime number is 21067. The next prime is 21089 (a gap of 22) and the one before is 21061.
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 2370th one is 21067.
- 2
21067 is prime because no prime up to ā21067 ā 145.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2370th prime is close to 2370 Ć ln(2370) ā 18416, and here it is 21067.
- 4
21067 has no twin: neither 21065 nor 21069 is prime.
Primes around the 2370th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2367 | 21031 | 8 |
| 2368 | 21059 | 28 |
| 2369 | 21061 | 2 |
| 2370 | 21067 | 6 |
| 2371 | 21089 | 22 |
| 2372 | 21101 | 12 |
| 2373 | 21107 | 6 |
Questions
What is the 2370th prime number?
21067.
Which prime number is 21067?
21067 is the 2370th prime number.
What is the sum of the first 2370 primes?
23,389,093.