What is the 5396th prime number?
The 5396th prime number is 52883. The next prime is 52889 (a gap of 6) and the one before is 52879.
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 5396th one is 52883.
- 2
52883 is prime because no prime up to ā52883 ā 229.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5396th prime is close to 5396 Ć ln(5396) ā 46370, and here it is 52883.
- 4
52883 has no twin: neither 52881 nor 52885 is prime.
Primes around the 5396th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5393 | 52859 | 22 |
| 5394 | 52861 | 2 |
| 5395 | 52879 | 18 |
| 5396 | 52883 | 4 |
| 5397 | 52889 | 6 |
| 5398 | 52901 | 12 |
| 5399 | 52903 | 2 |
Questions
What is the 5396th prime number?
52883.
Which prime number is 52883?
52883 is the 5396th prime number.
What is the sum of the first 5396 primes?
134,541,399.