What is the 5380th prime number?
The 5380th prime number is 52709. The next prime is 52711 (a gap of 2) and the one before is 52697.
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 5380th one is 52709.
- 2
52709 is prime because no prime up to ā52709 ā 229.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5380th prime is close to 5380 Ć ln(5380) ā 46217, and here it is 52709.
- 4
52709 is a twin prime: 52709 and 52711 are both prime.
Primes around the 5380th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5377 | 52673 | 6 |
| 5378 | 52691 | 18 |
| 5379 | 52697 | 6 |
| 5380 | 52709 | 12 |
| 5381 | 52711 | 2 |
| 5382 | 52721 | 10 |
| 5383 | 52727 | 6 |
Questions
What is the 5380th prime number?
52709.
Which prime number is 52709?
52709 is the 5380th prime number.
What is the sum of the first 5380 primes?
133,696,695.