What is the 5393rd prime number?
The 5393rd prime number is 52859. The next prime is 52861 (a gap of 2) and the one before is 52837.
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 5393rd one is 52859.
- 2
52859 is prime because no prime up to ā52859 ā 229.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5393rd prime is close to 5393 Ć ln(5393) ā 46341, and here it is 52859.
- 4
52859 is a twin prime: 52859 and 52861 are both prime.
Primes around the 5393rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5390 | 52813 | 6 |
| 5391 | 52817 | 4 |
| 5392 | 52837 | 20 |
| 5393 | 52859 | 22 |
| 5394 | 52861 | 2 |
| 5395 | 52879 | 18 |
| 5396 | 52883 | 4 |
Questions
What is the 5393rd prime number?
52859.
Which prime number is 52859?
52859 is the 5393rd prime number.
What is the sum of the first 5393 primes?
134,382,776.