What is the 569th prime number?
The 569th prime number is 4133. The next prime is 4139 (a gap of 6) and the one before is 4129.
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 569th one is 4133.
- 2
4133 is prime because no prime up to ā4133 ā 64.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 569th prime is close to 569 Ć ln(569) ā 3610, and here it is 4133.
- 4
4133 has no twin: neither 4131 nor 4135 is prime.
Primes around the 569th
| Position | Prime | Gap from the previous |
|---|---|---|
| 566 | 4111 | 12 |
| 567 | 4127 | 16 |
| 568 | 4129 | 2 |
| 569 | 4133 | 4 |
| 570 | 4139 | 6 |
| 571 | 4153 | 14 |
| 572 | 4157 | 4 |
Questions
What is the 569th prime number?
4133.
Which prime number is 4133?
4133 is the 569th prime number.
What is the sum of the first 569 primes?
1,090,690.