What is the 3567th prime number?
The 3567th prime number is 33317. The next prime is 33329 (a gap of 12) and the one before is 33311.
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 3567th one is 33317.
- 2
33317 is prime because no prime up to ā33317 ā 182.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3567th prime is close to 3567 Ć ln(3567) ā 29176, and here it is 33317.
- 4
33317 has no twin: neither 33315 nor 33319 is prime.
Primes around the 3567th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3564 | 33289 | 2 |
| 3565 | 33301 | 12 |
| 3566 | 33311 | 10 |
| 3567 | 33317 | 6 |
| 3568 | 33329 | 12 |
| 3569 | 33331 | 2 |
| 3570 | 33343 | 12 |
Questions
What is the 3567th prime number?
33317.
Which prime number is 33317?
33317 is the 3567th prime number.
What is the sum of the first 3567 primes?
55,873,258.