What is the 5392nd prime number?
The 5392nd prime number is 52837. The next prime is 52859 (a gap of 22) and the one before is 52817.
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 5392nd one is 52837.
- 2
52837 is prime because no prime up to ā52837 ā 229.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5392nd prime is close to 5392 Ć ln(5392) ā 46332, and here it is 52837.
- 4
52837 has no twin: neither 52835 nor 52839 is prime.
Primes around the 5392nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5389 | 52807 | 24 |
| 5390 | 52813 | 6 |
| 5391 | 52817 | 4 |
| 5392 | 52837 | 20 |
| 5393 | 52859 | 22 |
| 5394 | 52861 | 2 |
| 5395 | 52879 | 18 |
Questions
What is the 5392nd prime number?
52837.
Which prime number is 52837?
52837 is the 5392nd prime number.
What is the sum of the first 5392 primes?
134,329,917.