What is the 3570th prime number?
The 3570th prime number is 33343. The next prime is 33347 (a gap of 4) and the one before is 33331.
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 3570th one is 33343.
- 2
33343 is prime because no prime up to ā33343 ā 182.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3570th prime is close to 3570 Ć ln(3570) ā 29204, and here it is 33343.
- 4
33343 has no twin: neither 33341 nor 33345 is prime.
Primes around the 3570th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3567 | 33317 | 6 |
| 3568 | 33329 | 12 |
| 3569 | 33331 | 2 |
| 3570 | 33343 | 12 |
| 3571 | 33347 | 4 |
| 3572 | 33349 | 2 |
| 3573 | 33353 | 4 |
Questions
What is the 3570th prime number?
33343.
Which prime number is 33343?
33343 is the 3570th prime number.
What is the sum of the first 3570 primes?
55,973,261.