What is the 5440th prime number?
The 5440th prime number is 53327. The next prime is 53353 (a gap of 26) and the one before is 53323.
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 5440th one is 53327.
- 2
53327 is prime because no prime up to ā53327 ā 230.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5440th prime is close to 5440 Ć ln(5440) ā 46792, and here it is 53327.
- 4
53327 has no twin: neither 53325 nor 53329 is prime.
Primes around the 5440th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5437 | 53299 | 18 |
| 5438 | 53309 | 10 |
| 5439 | 53323 | 14 |
| 5440 | 53327 | 4 |
| 5441 | 53353 | 26 |
| 5442 | 53359 | 6 |
| 5443 | 53377 | 18 |
Questions
What is the 5440th prime number?
53327.
Which prime number is 53327?
53327 is the 5440th prime number.
What is the sum of the first 5440 primes?
136,878,177.