What is the 5341st prime number?
The 5341st prime number is 52249. The next prime is 52253 (a gap of 4) and the one before is 52237.
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 5341st one is 52249.
- 2
52249 is prime because no prime up to ā52249 ā 228.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5341st prime is close to 5341 Ć ln(5341) ā 45843, and here it is 52249.
- 4
52249 has no twin: neither 52247 nor 52251 is prime.
Primes around the 5341st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5338 | 52201 | 12 |
| 5339 | 52223 | 22 |
| 5340 | 52237 | 14 |
| 5341 | 52249 | 12 |
| 5342 | 52253 | 4 |
| 5343 | 52259 | 6 |
| 5344 | 52267 | 8 |
Questions
What is the 5341st prime number?
52249.
Which prime number is 52249?
52249 is the 5341st prime number.
What is the sum of the first 5341 primes?
131,649,820.