What is the 3573rd prime number?
The 3573rd prime number is 33353. The next prime is 33359 (a gap of 6) and the one before is 33349.
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 3573rd one is 33353.
- 2
33353 is prime because no prime up to ā33353 ā 182.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3573rd prime is close to 3573 Ć ln(3573) ā 29231, and here it is 33353.
- 4
33353 has no twin: neither 33351 nor 33355 is prime.
Primes around the 3573rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3570 | 33343 | 12 |
| 3571 | 33347 | 4 |
| 3572 | 33349 | 2 |
| 3573 | 33353 | 4 |
| 3574 | 33359 | 6 |
| 3575 | 33377 | 18 |
| 3576 | 33391 | 14 |
Questions
What is the 3573rd prime number?
33353.
Which prime number is 33353?
33353 is the 3573rd prime number.
What is the sum of the first 3573 primes?
56,073,310.