What is the 5232nd prime number?
The 5232nd prime number is 51133. The next prime is 51137 (a gap of 4) and the one before is 51131.
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 5232nd one is 51133.
- 2
51133 is prime because no prime up to ā51133 ā 226.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5232nd prime is close to 5232 Ć ln(5232) ā 44799, and here it is 51133.
- 4
51133 is a twin prime: 51131 and 51133 are both prime.
Primes around the 5232nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5229 | 51071 | 10 |
| 5230 | 51109 | 38 |
| 5231 | 51131 | 22 |
| 5232 | 51133 | 2 |
| 5233 | 51137 | 4 |
| 5234 | 51151 | 14 |
| 5235 | 51157 | 6 |
Questions
What is the 5232nd prime number?
51133.
Which prime number is 51133?
51133 is the 5232nd prime number.
What is the sum of the first 5232 primes?
126,017,071.