What is the 571st prime number?
The 571st prime number is 4153. The next prime is 4157 (a gap of 4) and the one before is 4139.
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 571st one is 4153.
- 2
4153 is prime because no prime up to ā4153 ā 64.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 571st prime is close to 571 Ć ln(571) ā 3624, and here it is 4153.
- 4
4153 has no twin: neither 4151 nor 4155 is prime.
Primes around the 571st
| Position | Prime | Gap from the previous |
|---|---|---|
| 568 | 4129 | 2 |
| 569 | 4133 | 4 |
| 570 | 4139 | 6 |
| 571 | 4153 | 14 |
| 572 | 4157 | 4 |
| 573 | 4159 | 2 |
| 574 | 4177 | 18 |
Questions
What is the 571st prime number?
4153.
Which prime number is 4153?
4153 is the 571st prime number.
What is the sum of the first 571 primes?
1,098,982.