What is the 567th prime number?
The 567th prime number is 4127. The next prime is 4129 (a gap of 2) and the one before is 4111.
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 567th one is 4127.
- 2
4127 is prime because no prime up to ā4127 ā 64.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 567th prime is close to 567 Ć ln(567) ā 3595, and here it is 4127.
- 4
4127 is a twin prime: 4127 and 4129 are both prime.
Primes around the 567th
| Position | Prime | Gap from the previous |
|---|---|---|
| 564 | 4093 | 2 |
| 565 | 4099 | 6 |
| 566 | 4111 | 12 |
| 567 | 4127 | 16 |
| 568 | 4129 | 2 |
| 569 | 4133 | 4 |
| 570 | 4139 | 6 |
Questions
What is the 567th prime number?
4127.
Which prime number is 4127?
4127 is the 567th prime number.
What is the sum of the first 567 primes?
1,082,428.