What is the 573rd prime number?
The 573rd prime number is 4159. The next prime is 4177 (a gap of 18) and the one before is 4157.
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 573rd one is 4159.
- 2
4159 is prime because no prime up to ā4159 ā 64.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 573rd prime is close to 573 Ć ln(573) ā 3639, and here it is 4159.
- 4
4159 is a twin prime: 4157 and 4159 are both prime.
Primes around the 573rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 570 | 4139 | 6 |
| 571 | 4153 | 14 |
| 572 | 4157 | 4 |
| 573 | 4159 | 2 |
| 574 | 4177 | 18 |
| 575 | 4201 | 24 |
| 576 | 4211 | 10 |
Questions
What is the 573rd prime number?
4159.
Which prime number is 4159?
4159 is the 573rd prime number.
What is the sum of the first 573 primes?
1,107,298.