What is the 4452nd prime number?
The 4452nd prime number is 42571. The next prime is 42577 (a gap of 6) and the one before is 42569.
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 4452nd one is 42571.
- 2
42571 is prime because no prime up to ā42571 ā 206.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4452nd prime is close to 4452 Ć ln(4452) ā 37402, and here it is 42571.
- 4
42571 is a twin prime: 42569 and 42571 are both prime.
Primes around the 4452nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4449 | 42533 | 24 |
| 4450 | 42557 | 24 |
| 4451 | 42569 | 12 |
| 4452 | 42571 | 2 |
| 4453 | 42577 | 6 |
| 4454 | 42589 | 12 |
| 4455 | 42611 | 22 |
Questions
What is the 4452nd prime number?
42571.
Which prime number is 42571?
42571 is the 4452nd prime number.
What is the sum of the first 4452 primes?
89,465,141.