What is the 5342nd prime number?
The 5342nd prime number is 52253. The next prime is 52259 (a gap of 6) and the one before is 52249.
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 5342nd one is 52253.
- 2
52253 is prime because no prime up to ā52253 ā 228.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5342nd prime is close to 5342 Ć ln(5342) ā 45852, and here it is 52253.
- 4
52253 has no twin: neither 52251 nor 52255 is prime.
Primes around the 5342nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5339 | 52223 | 22 |
| 5340 | 52237 | 14 |
| 5341 | 52249 | 12 |
| 5342 | 52253 | 4 |
| 5343 | 52259 | 6 |
| 5344 | 52267 | 8 |
| 5345 | 52289 | 22 |
Questions
What is the 5342nd prime number?
52253.
Which prime number is 52253?
52253 is the 5342nd prime number.
What is the sum of the first 5342 primes?
131,702,073.