What is the 5340th prime number?
The 5340th prime number is 52237. The next prime is 52249 (a gap of 12) and the one before is 52223.
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 5340th one is 52237.
- 2
52237 is prime because no prime up to ā52237 ā 228.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5340th prime is close to 5340 Ć ln(5340) ā 45833, and here it is 52237.
- 4
52237 has no twin: neither 52235 nor 52239 is prime.
Primes around the 5340th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5337 | 52189 | 6 |
| 5338 | 52201 | 12 |
| 5339 | 52223 | 22 |
| 5340 | 52237 | 14 |
| 5341 | 52249 | 12 |
| 5342 | 52253 | 4 |
| 5343 | 52259 | 6 |
Questions
What is the 5340th prime number?
52237.
Which prime number is 52237?
52237 is the 5340th prime number.
What is the sum of the first 5340 primes?
131,597,571.