What is the 5379th prime number?
The 5379th prime number is 52697. The next prime is 52709 (a gap of 12) and the one before is 52691.
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 5379th one is 52697.
- 2
52697 is prime because no prime up to ā52697 ā 229.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5379th prime is close to 5379 Ć ln(5379) ā 46207, and here it is 52697.
- 4
52697 has no twin: neither 52695 nor 52699 is prime.
Primes around the 5379th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5376 | 52667 | 28 |
| 5377 | 52673 | 6 |
| 5378 | 52691 | 18 |
| 5379 | 52697 | 6 |
| 5380 | 52709 | 12 |
| 5381 | 52711 | 2 |
| 5382 | 52721 | 10 |
Questions
What is the 5379th prime number?
52697.
Which prime number is 52697?
52697 is the 5379th prime number.
What is the sum of the first 5379 primes?
133,643,986.