What is the 5391st prime number?
The 5391st prime number is 52817. The next prime is 52837 (a gap of 20) and the one before is 52813.
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 5391st one is 52817.
- 2
52817 is prime because no prime up to ā52817 ā 229.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5391st prime is close to 5391 Ć ln(5391) ā 46322, and here it is 52817.
- 4
52817 has no twin: neither 52815 nor 52819 is prime.
Primes around the 5391st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5388 | 52783 | 14 |
| 5389 | 52807 | 24 |
| 5390 | 52813 | 6 |
| 5391 | 52817 | 4 |
| 5392 | 52837 | 20 |
| 5393 | 52859 | 22 |
| 5394 | 52861 | 2 |
Questions
What is the 5391st prime number?
52817.
Which prime number is 52817?
52817 is the 5391st prime number.
What is the sum of the first 5391 primes?
134,277,080.