What is the 5343rd prime number?
The 5343rd prime number is 52259. The next prime is 52267 (a gap of 8) and the one before is 52253.
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 5343rd one is 52259.
- 2
52259 is prime because no prime up to ā52259 ā 228.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5343rd prime is close to 5343 Ć ln(5343) ā 45862, and here it is 52259.
- 4
52259 has no twin: neither 52257 nor 52261 is prime.
Primes around the 5343rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5340 | 52237 | 14 |
| 5341 | 52249 | 12 |
| 5342 | 52253 | 4 |
| 5343 | 52259 | 6 |
| 5344 | 52267 | 8 |
| 5345 | 52289 | 22 |
| 5346 | 52291 | 2 |
Questions
What is the 5343rd prime number?
52259.
Which prime number is 52259?
52259 is the 5343rd prime number.
What is the sum of the first 5343 primes?
131,754,332.