What is the 52nd prime number?
The 52nd prime number is 239. The next prime is 241 (a gap of 2) and the one before is 233.
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 52nd one is 239.
- 2
239 is prime because no prime up to ā239 ā 15.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 52nd prime is close to 52 Ć ln(52) ā 205, and here it is 239.
- 4
239 is a twin prime: 239 and 241 are both prime.
Primes around the 52nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 49 | 227 | 4 |
| 50 | 229 | 2 |
| 51 | 233 | 4 |
| 52 | 239 | 6 |
| 53 | 241 | 2 |
| 54 | 251 | 10 |
| 55 | 257 | 6 |
Questions
What is the 52nd prime number?
239.
Which prime number is 239?
239 is the 52nd prime number.
What is the sum of the first 52 primes?
5,589.