What is the 566th prime number?
The 566th prime number is 4111. The next prime is 4127 (a gap of 16) and the one before is 4099.
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 566th one is 4111.
- 2
4111 is prime because no prime up to ā4111 ā 64.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 566th prime is close to 566 Ć ln(566) ā 3588, and here it is 4111.
- 4
4111 has no twin: neither 4109 nor 4113 is prime.
Primes around the 566th
| Position | Prime | Gap from the previous |
|---|---|---|
| 563 | 4091 | 12 |
| 564 | 4093 | 2 |
| 565 | 4099 | 6 |
| 566 | 4111 | 12 |
| 567 | 4127 | 16 |
| 568 | 4129 | 2 |
| 569 | 4133 | 4 |
Questions
What is the 566th prime number?
4111.
Which prime number is 4111?
4111 is the 566th prime number.
What is the sum of the first 566 primes?
1,078,301.