What is the 5398th prime number?
The 5398th prime number is 52901. The next prime is 52903 (a gap of 2) and the one before is 52889.
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 5398th one is 52901.
- 2
52901 is prime because no prime up to ā52901 ā 230.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5398th prime is close to 5398 Ć ln(5398) ā 46389, and here it is 52901.
- 4
52901 is a twin prime: 52901 and 52903 are both prime.
Primes around the 5398th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5395 | 52879 | 18 |
| 5396 | 52883 | 4 |
| 5397 | 52889 | 6 |
| 5398 | 52901 | 12 |
| 5399 | 52903 | 2 |
| 5400 | 52919 | 16 |
| 5401 | 52937 | 18 |
Questions
What is the 5398th prime number?
52901.
Which prime number is 52901?
52901 is the 5398th prime number.
What is the sum of the first 5398 primes?
134,647,189.