What is the 4451st prime number?
The 4451st prime number is 42569. The next prime is 42571 (a gap of 2) and the one before is 42557.
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 4451st one is 42569.
- 2
42569 is prime because no prime up to ā42569 ā 206.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4451st prime is close to 4451 Ć ln(4451) ā 37392, and here it is 42569.
- 4
42569 is a twin prime: 42569 and 42571 are both prime.
Primes around the 4451st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4448 | 42509 | 10 |
| 4449 | 42533 | 24 |
| 4450 | 42557 | 24 |
| 4451 | 42569 | 12 |
| 4452 | 42571 | 2 |
| 4453 | 42577 | 6 |
| 4454 | 42589 | 12 |
Questions
What is the 4451st prime number?
42569.
Which prime number is 42569?
42569 is the 4451st prime number.
What is the sum of the first 4451 primes?
89,422,570.