What is the 5397th prime number?
The 5397th prime number is 52889. The next prime is 52901 (a gap of 12) and the one before is 52883.
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 5397th one is 52889.
- 2
52889 is prime because no prime up to ā52889 ā 229.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5397th prime is close to 5397 Ć ln(5397) ā 46380, and here it is 52889.
- 4
52889 has no twin: neither 52887 nor 52891 is prime.
Primes around the 5397th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5394 | 52861 | 2 |
| 5395 | 52879 | 18 |
| 5396 | 52883 | 4 |
| 5397 | 52889 | 6 |
| 5398 | 52901 | 12 |
| 5399 | 52903 | 2 |
| 5400 | 52919 | 16 |
Questions
What is the 5397th prime number?
52889.
Which prime number is 52889?
52889 is the 5397th prime number.
What is the sum of the first 5397 primes?
134,594,288.