What is the 2571st prime number?
The 2571st prime number is 23039. The next prime is 23041 (a gap of 2) and the one before is 23029.
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 2571st one is 23039.
- 2
23039 is prime because no prime up to ā23039 ā 151.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2571st prime is close to 2571 Ć ln(2571) ā 20188, and here it is 23039.
- 4
23039 is a twin prime: 23039 and 23041 are both prime.
Primes around the 2571st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2568 | 23021 | 4 |
| 2569 | 23027 | 6 |
| 2570 | 23029 | 2 |
| 2571 | 23039 | 10 |
| 2572 | 23041 | 2 |
| 2573 | 23053 | 12 |
| 2574 | 23057 | 4 |
Questions
What is the 2571st prime number?
23039.
Which prime number is 23039?
23039 is the 2571st prime number.
What is the sum of the first 2571 primes?
27,822,606.