What is the 5334th prime number?
The 5334th prime number is 52177. The next prime is 52181 (a gap of 4) and the one before is 52163.
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 5334th one is 52177.
- 2
52177 is prime because no prime up to ā52177 ā 228.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5334th prime is close to 5334 Ć ln(5334) ā 45776, and here it is 52177.
- 4
52177 has no twin: neither 52175 nor 52179 is prime.
Primes around the 5334th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5331 | 52147 | 20 |
| 5332 | 52153 | 6 |
| 5333 | 52163 | 10 |
| 5334 | 52177 | 14 |
| 5335 | 52181 | 4 |
| 5336 | 52183 | 2 |
| 5337 | 52189 | 6 |
Questions
What is the 5334th prime number?
52177.
Which prime number is 52177?
52177 is the 5334th prime number.
What is the sum of the first 5334 primes?
131,284,357.