What is the 3568th prime number?
The 3568th prime number is 33329. The next prime is 33331 (a gap of 2) and the one before is 33317.
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 3568th one is 33329.
- 2
33329 is prime because no prime up to ā33329 ā 182.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3568th prime is close to 3568 Ć ln(3568) ā 29185, and here it is 33329.
- 4
33329 is a twin prime: 33329 and 33331 are both prime.
Primes around the 3568th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3565 | 33301 | 12 |
| 3566 | 33311 | 10 |
| 3567 | 33317 | 6 |
| 3568 | 33329 | 12 |
| 3569 | 33331 | 2 |
| 3570 | 33343 | 12 |
| 3571 | 33347 | 4 |
Questions
What is the 3568th prime number?
33329.
Which prime number is 33329?
33329 is the 3568th prime number.
What is the sum of the first 3568 primes?
55,906,587.