What is the 5459th prime number?
The 5459th prime number is 53591. The next prime is 53593 (a gap of 2) and the one before is 53569.
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 5459th one is 53591.
- 2
53591 is prime because no prime up to ā53591 ā 231.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5459th prime is close to 5459 Ć ln(5459) ā 46975, and here it is 53591.
- 4
53591 is a twin prime: 53591 and 53593 are both prime.
Primes around the 5459th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5456 | 53549 | 22 |
| 5457 | 53551 | 2 |
| 5458 | 53569 | 18 |
| 5459 | 53591 | 22 |
| 5460 | 53593 | 2 |
| 5461 | 53597 | 4 |
| 5462 | 53609 | 12 |
Questions
What is the 5459th prime number?
53591.
Which prime number is 53591?
53591 is the 5459th prime number.
What is the sum of the first 5459 primes?
137,893,892.