What is the 3572nd prime number?
The 3572nd prime number is 33349. The next prime is 33353 (a gap of 4) and the one before is 33347.
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 3572nd one is 33349.
- 2
33349 is prime because no prime up to ā33349 ā 182.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3572nd prime is close to 3572 Ć ln(3572) ā 29222, and here it is 33349.
- 4
33349 is a twin prime: 33347 and 33349 are both prime.
Primes around the 3572nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3569 | 33331 | 2 |
| 3570 | 33343 | 12 |
| 3571 | 33347 | 4 |
| 3572 | 33349 | 2 |
| 3573 | 33353 | 4 |
| 3574 | 33359 | 6 |
| 3575 | 33377 | 18 |
Questions
What is the 3572nd prime number?
33349.
Which prime number is 33349?
33349 is the 3572nd prime number.
What is the sum of the first 3572 primes?
56,039,957.