What is the 2568th prime number?
The 2568th prime number is 23021. The next prime is 23027 (a gap of 6) and the one before is 23017.
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 2568th one is 23021.
- 2
23021 is prime because no prime up to ā23021 ā 151.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2568th prime is close to 2568 Ć ln(2568) ā 20161, and here it is 23021.
- 4
23021 has no twin: neither 23019 nor 23023 is prime.
Primes around the 2568th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2565 | 23003 | 10 |
| 2566 | 23011 | 8 |
| 2567 | 23017 | 6 |
| 2568 | 23021 | 4 |
| 2569 | 23027 | 6 |
| 2570 | 23029 | 2 |
| 2571 | 23039 | 10 |
Questions
What is the 2568th prime number?
23021.
Which prime number is 23021?
23021 is the 2568th prime number.
What is the sum of the first 2568 primes?
27,753,511.