What is the 5338th prime number?
The 5338th prime number is 52201. The next prime is 52223 (a gap of 22) and the one before is 52189.
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 5338th one is 52201.
- 2
52201 is prime because no prime up to ā52201 ā 228.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5338th prime is close to 5338 Ć ln(5338) ā 45814, and here it is 52201.
- 4
52201 has no twin: neither 52199 nor 52203 is prime.
Primes around the 5338th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5335 | 52181 | 4 |
| 5336 | 52183 | 2 |
| 5337 | 52189 | 6 |
| 5338 | 52201 | 12 |
| 5339 | 52223 | 22 |
| 5340 | 52237 | 14 |
| 5341 | 52249 | 12 |
Questions
What is the 5338th prime number?
52201.
Which prime number is 52201?
52201 is the 5338th prime number.
What is the sum of the first 5338 primes?
131,493,111.