What is the 2368th prime number?
The 2368th prime number is 21059. The next prime is 21061 (a gap of 2) and the one before is 21031.
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 2368th one is 21059.
- 2
21059 is prime because no prime up to ā21059 ā 145.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2368th prime is close to 2368 Ć ln(2368) ā 18399, and here it is 21059.
- 4
21059 is a twin prime: 21059 and 21061 are both prime.
Primes around the 2368th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2365 | 21019 | 2 |
| 2366 | 21023 | 4 |
| 2367 | 21031 | 8 |
| 2368 | 21059 | 28 |
| 2369 | 21061 | 2 |
| 2370 | 21067 | 6 |
| 2371 | 21089 | 22 |
Questions
What is the 2368th prime number?
21059.
Which prime number is 21059?
21059 is the 2368th prime number.
What is the sum of the first 2368 primes?
23,346,965.