What is the 568th prime number?
The 568th prime number is 4129. The next prime is 4133 (a gap of 4) and the one before is 4127.
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 568th one is 4129.
- 2
4129 is prime because no prime up to ā4129 ā 64.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 568th prime is close to 568 Ć ln(568) ā 3602, and here it is 4129.
- 4
4129 is a twin prime: 4127 and 4129 are both prime.
Primes around the 568th
| Position | Prime | Gap from the previous |
|---|---|---|
| 565 | 4099 | 6 |
| 566 | 4111 | 12 |
| 567 | 4127 | 16 |
| 568 | 4129 | 2 |
| 569 | 4133 | 4 |
| 570 | 4139 | 6 |
| 571 | 4153 | 14 |
Questions
What is the 568th prime number?
4129.
Which prime number is 4129?
4129 is the 568th prime number.
What is the sum of the first 568 primes?
1,086,557.