What is the 5339th prime number?
The 5339th prime number is 52223. The next prime is 52237 (a gap of 14) and the one before is 52201.
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 5339th one is 52223.
- 2
52223 is prime because no prime up to ā52223 ā 228.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5339th prime is close to 5339 Ć ln(5339) ā 45824, and here it is 52223.
- 4
52223 has no twin: neither 52221 nor 52225 is prime.
Primes around the 5339th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5336 | 52183 | 2 |
| 5337 | 52189 | 6 |
| 5338 | 52201 | 12 |
| 5339 | 52223 | 22 |
| 5340 | 52237 | 14 |
| 5341 | 52249 | 12 |
| 5342 | 52253 | 4 |
Questions
What is the 5339th prime number?
52223.
Which prime number is 52223?
52223 is the 5339th prime number.
What is the sum of the first 5339 primes?
131,545,334.