What is the 5336th prime number?
The 5336th prime number is 52183. The next prime is 52189 (a gap of 6) and the one before is 52181.
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 5336th one is 52183.
- 2
52183 is prime because no prime up to ā52183 ā 228.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5336th prime is close to 5336 Ć ln(5336) ā 45795, and here it is 52183.
- 4
52183 is a twin prime: 52181 and 52183 are both prime.
Primes around the 5336th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5333 | 52163 | 10 |
| 5334 | 52177 | 14 |
| 5335 | 52181 | 4 |
| 5336 | 52183 | 2 |
| 5337 | 52189 | 6 |
| 5338 | 52201 | 12 |
| 5339 | 52223 | 22 |
Questions
What is the 5336th prime number?
52183.
Which prime number is 52183?
52183 is the 5336th prime number.
What is the sum of the first 5336 primes?
131,388,721.