What is the 570th prime number?
The 570th prime number is 4139. The next prime is 4153 (a gap of 14) and the one before is 4133.
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 570th one is 4139.
- 2
4139 is prime because no prime up to ā4139 ā 64.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 570th prime is close to 570 Ć ln(570) ā 3617, and here it is 4139.
- 4
4139 has no twin: neither 4137 nor 4141 is prime.
Primes around the 570th
| Position | Prime | Gap from the previous |
|---|---|---|
| 567 | 4127 | 16 |
| 568 | 4129 | 2 |
| 569 | 4133 | 4 |
| 570 | 4139 | 6 |
| 571 | 4153 | 14 |
| 572 | 4157 | 4 |
| 573 | 4159 | 2 |
Questions
What is the 570th prime number?
4139.
Which prime number is 4139?
4139 is the 570th prime number.
What is the sum of the first 570 primes?
1,094,829.