What is the 5381st prime number?
The 5381st prime number is 52711. The next prime is 52721 (a gap of 10) and the one before is 52709.
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 5381st one is 52711.
- 2
52711 is prime because no prime up to ā52711 ā 229.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5381st prime is close to 5381 Ć ln(5381) ā 46226, and here it is 52711.
- 4
52711 is a twin prime: 52709 and 52711 are both prime.
Primes around the 5381st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5378 | 52691 | 18 |
| 5379 | 52697 | 6 |
| 5380 | 52709 | 12 |
| 5381 | 52711 | 2 |
| 5382 | 52721 | 10 |
| 5383 | 52727 | 6 |
| 5384 | 52733 | 6 |
Questions
What is the 5381st prime number?
52711.
Which prime number is 52711?
52711 is the 5381st prime number.
What is the sum of the first 5381 primes?
133,749,406.