What is the 5362nd prime number?
The 5362nd prime number is 52517. The next prime is 52529 (a gap of 12) and the one before is 52511.
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 5362nd one is 52517.
- 2
52517 is prime because no prime up to ā52517 ā 229.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5362nd prime is close to 5362 Ć ln(5362) ā 46044, and here it is 52517.
- 4
52517 has no twin: neither 52515 nor 52519 is prime.
Primes around the 5362nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5359 | 52489 | 32 |
| 5360 | 52501 | 12 |
| 5361 | 52511 | 10 |
| 5362 | 52517 | 6 |
| 5363 | 52529 | 12 |
| 5364 | 52541 | 12 |
| 5365 | 52543 | 2 |
Questions
What is the 5362nd prime number?
52517.
Which prime number is 52517?
52517 is the 5362nd prime number.
What is the sum of the first 5362 primes?
132,749,725.