What is the 5457th prime number?
The 5457th prime number is 53551. The next prime is 53569 (a gap of 18) and the one before is 53549.
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 5457th one is 53551.
- 2
53551 is prime because no prime up to ā53551 ā 231.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5457th prime is close to 5457 Ć ln(5457) ā 46956, and here it is 53551.
- 4
53551 is a twin prime: 53549 and 53551 are both prime.
Primes around the 5457th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5454 | 53507 | 4 |
| 5455 | 53527 | 20 |
| 5456 | 53549 | 22 |
| 5457 | 53551 | 2 |
| 5458 | 53569 | 18 |
| 5459 | 53591 | 22 |
| 5460 | 53593 | 2 |
Questions
What is the 5457th prime number?
53551.
Which prime number is 53551?
53551 is the 5457th prime number.
What is the sum of the first 5457 primes?
137,786,732.