What is the 5335th prime number?
The 5335th prime number is 52181. The next prime is 52183 (a gap of 2) and the one before is 52177.
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 5335th one is 52181.
- 2
52181 is prime because no prime up to ā52181 ā 228.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5335th prime is close to 5335 Ć ln(5335) ā 45785, and here it is 52181.
- 4
52181 is a twin prime: 52181 and 52183 are both prime.
Primes around the 5335th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5332 | 52153 | 6 |
| 5333 | 52163 | 10 |
| 5334 | 52177 | 14 |
| 5335 | 52181 | 4 |
| 5336 | 52183 | 2 |
| 5337 | 52189 | 6 |
| 5338 | 52201 | 12 |
Questions
What is the 5335th prime number?
52181.
Which prime number is 52181?
52181 is the 5335th prime number.
What is the sum of the first 5335 primes?
131,336,538.