What is the 5456th prime number?
The 5456th prime number is 53549. The next prime is 53551 (a gap of 2) and the one before is 53527.
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 5456th one is 53549.
- 2
53549 is prime because no prime up to ā53549 ā 231.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5456th prime is close to 5456 Ć ln(5456) ā 46946, and here it is 53549.
- 4
53549 is a twin prime: 53549 and 53551 are both prime.
Primes around the 5456th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5453 | 53503 | 24 |
| 5454 | 53507 | 4 |
| 5455 | 53527 | 20 |
| 5456 | 53549 | 22 |
| 5457 | 53551 | 2 |
| 5458 | 53569 | 18 |
| 5459 | 53591 | 22 |
Questions
What is the 5456th prime number?
53549.
Which prime number is 53549?
53549 is the 5456th prime number.
What is the sum of the first 5456 primes?
137,733,181.