What is the 3569th prime number?
The 3569th prime number is 33331. The next prime is 33343 (a gap of 12) and the one before is 33329.
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 3569th one is 33331.
- 2
33331 is prime because no prime up to ā33331 ā 182.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3569th prime is close to 3569 Ć ln(3569) ā 29195, and here it is 33331.
- 4
33331 is a twin prime: 33329 and 33331 are both prime.
Primes around the 3569th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3566 | 33311 | 10 |
| 3567 | 33317 | 6 |
| 3568 | 33329 | 12 |
| 3569 | 33331 | 2 |
| 3570 | 33343 | 12 |
| 3571 | 33347 | 4 |
| 3572 | 33349 | 2 |
Questions
What is the 3569th prime number?
33331.
Which prime number is 33331?
33331 is the 3569th prime number.
What is the sum of the first 3569 primes?
55,939,918.