What is the 5399th prime number?
The 5399th prime number is 52903. The next prime is 52919 (a gap of 16) and the one before is 52901.
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 5399th one is 52903.
- 2
52903 is prime because no prime up to ā52903 ā 230.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5399th prime is close to 5399 Ć ln(5399) ā 46399, and here it is 52903.
- 4
52903 is a twin prime: 52901 and 52903 are both prime.
Primes around the 5399th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5396 | 52883 | 4 |
| 5397 | 52889 | 6 |
| 5398 | 52901 | 12 |
| 5399 | 52903 | 2 |
| 5400 | 52919 | 16 |
| 5401 | 52937 | 18 |
| 5402 | 52951 | 14 |
Questions
What is the 5399th prime number?
52903.
Which prime number is 52903?
52903 is the 5399th prime number.
What is the sum of the first 5399 primes?
134,700,092.