What is the 3571st prime number?
The 3571st prime number is 33347. The next prime is 33349 (a gap of 2) and the one before is 33343.
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 3571st one is 33347.
- 2
33347 is prime because no prime up to ā33347 ā 182.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3571st prime is close to 3571 Ć ln(3571) ā 29213, and here it is 33347.
- 4
33347 is a twin prime: 33347 and 33349 are both prime.
Primes around the 3571st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3568 | 33329 | 12 |
| 3569 | 33331 | 2 |
| 3570 | 33343 | 12 |
| 3571 | 33347 | 4 |
| 3572 | 33349 | 2 |
| 3573 | 33353 | 4 |
| 3574 | 33359 | 6 |
Questions
What is the 3571st prime number?
33347.
Which prime number is 33347?
33347 is the 3571st prime number.
What is the sum of the first 3571 primes?
56,006,608.