What is the 5383rd prime number?
The 5383rd prime number is 52727. The next prime is 52733 (a gap of 6) and the one before is 52721.
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 5383rd one is 52727.
- 2
52727 is prime because no prime up to ā52727 ā 229.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5383rd prime is close to 5383 Ć ln(5383) ā 46245, and here it is 52727.
- 4
52727 has no twin: neither 52725 nor 52729 is prime.
Primes around the 5383rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5380 | 52709 | 12 |
| 5381 | 52711 | 2 |
| 5382 | 52721 | 10 |
| 5383 | 52727 | 6 |
| 5384 | 52733 | 6 |
| 5385 | 52747 | 14 |
| 5386 | 52757 | 10 |
Questions
What is the 5383rd prime number?
52727.
Which prime number is 52727?
52727 is the 5383rd prime number.
What is the sum of the first 5383 primes?
133,854,854.