What is the 5432nd prime number?
The 5432nd prime number is 53239. The next prime is 53267 (a gap of 28) and the one before is 53233.
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 5432nd one is 53239.
- 2
53239 is prime because no prime up to ā53239 ā 230.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5432nd prime is close to 5432 Ć ln(5432) ā 46716, and here it is 53239.
- 4
53239 has no twin: neither 53237 nor 53241 is prime.
Primes around the 5432nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5429 | 53201 | 4 |
| 5430 | 53231 | 30 |
| 5431 | 53233 | 2 |
| 5432 | 53239 | 6 |
| 5433 | 53267 | 28 |
| 5434 | 53269 | 2 |
| 5435 | 53279 | 10 |
Questions
What is the 5432nd prime number?
53239.
Which prime number is 53239?
53239 is the 5432nd prime number.
What is the sum of the first 5432 primes?
136,451,823.