What is the 5385th prime number?
The 5385th prime number is 52747. The next prime is 52757 (a gap of 10) and the one before is 52733.
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 5385th one is 52747.
- 2
52747 is prime because no prime up to ā52747 ā 229.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5385th prime is close to 5385 Ć ln(5385) ā 46265, and here it is 52747.
- 4
52747 has no twin: neither 52745 nor 52749 is prime.
Primes around the 5385th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5382 | 52721 | 10 |
| 5383 | 52727 | 6 |
| 5384 | 52733 | 6 |
| 5385 | 52747 | 14 |
| 5386 | 52757 | 10 |
| 5387 | 52769 | 12 |
| 5388 | 52783 | 14 |
Questions
What is the 5385th prime number?
52747.
Which prime number is 52747?
52747 is the 5385th prime number.
What is the sum of the first 5385 primes?
133,960,334.