What is the 5439th prime number?
The 5439th prime number is 53323. The next prime is 53327 (a gap of 4) and the one before is 53309.
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 5439th one is 53323.
- 2
53323 is prime because no prime up to ā53323 ā 230.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5439th prime is close to 5439 Ć ln(5439) ā 46783, and here it is 53323.
- 4
53323 has no twin: neither 53321 nor 53325 is prime.
Primes around the 5439th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5436 | 53281 | 2 |
| 5437 | 53299 | 18 |
| 5438 | 53309 | 10 |
| 5439 | 53323 | 14 |
| 5440 | 53327 | 4 |
| 5441 | 53353 | 26 |
| 5442 | 53359 | 6 |
Questions
What is the 5439th prime number?
53323.
Which prime number is 53323?
53323 is the 5439th prime number.
What is the sum of the first 5439 primes?
136,824,850.