What is the 5333rd prime number?
The 5333rd prime number is 52163. The next prime is 52177 (a gap of 14) and the one before is 52153.
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 5333rd one is 52163.
- 2
52163 is prime because no prime up to ā52163 ā 228.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5333rd prime is close to 5333 Ć ln(5333) ā 45766, and here it is 52163.
- 4
52163 has no twin: neither 52161 nor 52165 is prime.
Primes around the 5333rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5330 | 52127 | 6 |
| 5331 | 52147 | 20 |
| 5332 | 52153 | 6 |
| 5333 | 52163 | 10 |
| 5334 | 52177 | 14 |
| 5335 | 52181 | 4 |
| 5336 | 52183 | 2 |
Questions
What is the 5333rd prime number?
52163.
Which prime number is 52163?
52163 is the 5333rd prime number.
What is the sum of the first 5333 primes?
131,232,180.