What is the 572nd prime number?
The 572nd prime number is 4157. The next prime is 4159 (a gap of 2) and the one before is 4153.
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 572nd one is 4157.
- 2
4157 is prime because no prime up to ā4157 ā 64.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 572nd prime is close to 572 Ć ln(572) ā 3632, and here it is 4157.
- 4
4157 is a twin prime: 4157 and 4159 are both prime.
Primes around the 572nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 569 | 4133 | 4 |
| 570 | 4139 | 6 |
| 571 | 4153 | 14 |
| 572 | 4157 | 4 |
| 573 | 4159 | 2 |
| 574 | 4177 | 18 |
| 575 | 4201 | 24 |
Questions
What is the 572nd prime number?
4157.
Which prime number is 4157?
4157 is the 572nd prime number.
What is the sum of the first 572 primes?
1,103,139.