What is the 5337th prime number?
The 5337th prime number is 52189. The next prime is 52201 (a gap of 12) and the one before is 52183.
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 5337th one is 52189.
- 2
52189 is prime because no prime up to ā52189 ā 228.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5337th prime is close to 5337 Ć ln(5337) ā 45804, and here it is 52189.
- 4
52189 has no twin: neither 52187 nor 52191 is prime.
Primes around the 5337th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5334 | 52177 | 14 |
| 5335 | 52181 | 4 |
| 5336 | 52183 | 2 |
| 5337 | 52189 | 6 |
| 5338 | 52201 | 12 |
| 5339 | 52223 | 22 |
| 5340 | 52237 | 14 |
Questions
What is the 5337th prime number?
52189.
Which prime number is 52189?
52189 is the 5337th prime number.
What is the sum of the first 5337 primes?
131,440,910.