What is the 2569th prime number?
The 2569th prime number is 23027. The next prime is 23029 (a gap of 2) and the one before is 23021.
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 2569th one is 23027.
- 2
23027 is prime because no prime up to ā23027 ā 151.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2569th prime is close to 2569 Ć ln(2569) ā 20170, and here it is 23027.
- 4
23027 is a twin prime: 23027 and 23029 are both prime.
Primes around the 2569th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2566 | 23011 | 8 |
| 2567 | 23017 | 6 |
| 2568 | 23021 | 4 |
| 2569 | 23027 | 6 |
| 2570 | 23029 | 2 |
| 2571 | 23039 | 10 |
| 2572 | 23041 | 2 |
Questions
What is the 2569th prime number?
23027.
Which prime number is 23027?
23027 is the 2569th prime number.
What is the sum of the first 2569 primes?
27,776,538.