What is the 5395th prime number?
The 5395th prime number is 52879. The next prime is 52883 (a gap of 4) and the one before is 52861.
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 5395th one is 52879.
- 2
52879 is prime because no prime up to ā52879 ā 229.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5395th prime is close to 5395 Ć ln(5395) ā 46360, and here it is 52879.
- 4
52879 has no twin: neither 52877 nor 52881 is prime.
Primes around the 5395th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5392 | 52837 | 20 |
| 5393 | 52859 | 22 |
| 5394 | 52861 | 2 |
| 5395 | 52879 | 18 |
| 5396 | 52883 | 4 |
| 5397 | 52889 | 6 |
| 5398 | 52901 | 12 |
Questions
What is the 5395th prime number?
52879.
Which prime number is 52879?
52879 is the 5395th prime number.
What is the sum of the first 5395 primes?
134,488,516.