What is the 5458th prime number?
The 5458th prime number is 53569. The next prime is 53591 (a gap of 22) and the one before is 53551.
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 5458th one is 53569.
- 2
53569 is prime because no prime up to ā53569 ā 231.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5458th prime is close to 5458 Ć ln(5458) ā 46965, and here it is 53569.
- 4
53569 has no twin: neither 53567 nor 53571 is prime.
Primes around the 5458th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5455 | 53527 | 20 |
| 5456 | 53549 | 22 |
| 5457 | 53551 | 2 |
| 5458 | 53569 | 18 |
| 5459 | 53591 | 22 |
| 5460 | 53593 | 2 |
| 5461 | 53597 | 4 |
Questions
What is the 5458th prime number?
53569.
Which prime number is 53569?
53569 is the 5458th prime number.
What is the sum of the first 5458 primes?
137,840,301.