What is the 5384th prime number?
The 5384th prime number is 52733. The next prime is 52747 (a gap of 14) and the one before is 52727.
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 5384th one is 52733.
- 2
52733 is prime because no prime up to ā52733 ā 229.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5384th prime is close to 5384 Ć ln(5384) ā 46255, and here it is 52733.
- 4
52733 has no twin: neither 52731 nor 52735 is prime.
Primes around the 5384th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5381 | 52711 | 2 |
| 5382 | 52721 | 10 |
| 5383 | 52727 | 6 |
| 5384 | 52733 | 6 |
| 5385 | 52747 | 14 |
| 5386 | 52757 | 10 |
| 5387 | 52769 | 12 |
Questions
What is the 5384th prime number?
52733.
Which prime number is 52733?
52733 is the 5384th prime number.
What is the sum of the first 5384 primes?
133,907,587.