What is the 2572nd prime number?
The 2572nd prime number is 23041. The next prime is 23053 (a gap of 12) and the one before is 23039.
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 2572nd one is 23041.
- 2
23041 is prime because no prime up to ā23041 ā 151.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2572nd prime is close to 2572 Ć ln(2572) ā 20196, and here it is 23041.
- 4
23041 is a twin prime: 23039 and 23041 are both prime.
Primes around the 2572nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2569 | 23027 | 6 |
| 2570 | 23029 | 2 |
| 2571 | 23039 | 10 |
| 2572 | 23041 | 2 |
| 2573 | 23053 | 12 |
| 2574 | 23057 | 4 |
| 2575 | 23059 | 2 |
Questions
What is the 2572nd prime number?
23041.
Which prime number is 23041?
23041 is the 2572nd prime number.
What is the sum of the first 2572 primes?
27,845,647.