What is the 2567th prime number?
The 2567th prime number is 23017. The next prime is 23021 (a gap of 4) and the one before is 23011.
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 2567th one is 23017.
- 2
23017 is prime because no prime up to ā23017 ā 151.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2567th prime is close to 2567 Ć ln(2567) ā 20152, and here it is 23017.
- 4
23017 has no twin: neither 23015 nor 23019 is prime.
Primes around the 2567th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2564 | 22993 | 20 |
| 2565 | 23003 | 10 |
| 2566 | 23011 | 8 |
| 2567 | 23017 | 6 |
| 2568 | 23021 | 4 |
| 2569 | 23027 | 6 |
| 2570 | 23029 | 2 |
Questions
What is the 2567th prime number?
23017.
Which prime number is 23017?
23017 is the 2567th prime number.
What is the sum of the first 2567 primes?
27,730,490.