What is the 2570th prime number?
The 2570th prime number is 23029. The next prime is 23039 (a gap of 10) and the one before is 23027.
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 2570th one is 23029.
- 2
23029 is prime because no prime up to ā23029 ā 151.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2570th prime is close to 2570 Ć ln(2570) ā 20179, and here it is 23029.
- 4
23029 is a twin prime: 23027 and 23029 are both prime.
Primes around the 2570th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2567 | 23017 | 6 |
| 2568 | 23021 | 4 |
| 2569 | 23027 | 6 |
| 2570 | 23029 | 2 |
| 2571 | 23039 | 10 |
| 2572 | 23041 | 2 |
| 2573 | 23053 | 12 |
Questions
What is the 2570th prime number?
23029.
Which prime number is 23029?
23029 is the 2570th prime number.
What is the sum of the first 2570 primes?
27,799,567.