What is the 2364th prime number?
The 2364th prime number is 21017. The next prime is 21019 (a gap of 2) and the one before is 21013.
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 2364th one is 21017.
- 2
21017 is prime because no prime up to ā21017 ā 144.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2364th prime is close to 2364 Ć ln(2364) ā 18364, and here it is 21017.
- 4
21017 is a twin prime: 21017 and 21019 are both prime.
Primes around the 2364th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2361 | 21001 | 18 |
| 2362 | 21011 | 10 |
| 2363 | 21013 | 2 |
| 2364 | 21017 | 4 |
| 2365 | 21019 | 2 |
| 2366 | 21023 | 4 |
| 2367 | 21031 | 8 |
Questions
What is the 2364th prime number?
21017.
Which prime number is 21017?
21017 is the 2364th prime number.
What is the sum of the first 2364 primes?
23,262,833.