What is the 5382nd prime number?
The 5382nd prime number is 52721. The next prime is 52727 (a gap of 6) and the one before is 52711.
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 5382nd one is 52721.
- 2
52721 is prime because no prime up to ā52721 ā 229.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5382nd prime is close to 5382 Ć ln(5382) ā 46236, and here it is 52721.
- 4
52721 has no twin: neither 52719 nor 52723 is prime.
Primes around the 5382nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5379 | 52697 | 6 |
| 5380 | 52709 | 12 |
| 5381 | 52711 | 2 |
| 5382 | 52721 | 10 |
| 5383 | 52727 | 6 |
| 5384 | 52733 | 6 |
| 5385 | 52747 | 14 |
Questions
What is the 5382nd prime number?
52721.
Which prime number is 52721?
52721 is the 5382nd prime number.
What is the sum of the first 5382 primes?
133,802,127.