What is the 5296th prime number?
The 5296th prime number is 51767. The next prime is 51769 (a gap of 2) and the one before is 51749.
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 5296th one is 51767.
- 2
51767 is prime because no prime up to ā51767 ā 227.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5296th prime is close to 5296 Ć ln(5296) ā 45412, and here it is 51767.
- 4
51767 is a twin prime: 51767 and 51769 are both prime.
Primes around the 5296th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5293 | 51719 | 6 |
| 5294 | 51721 | 2 |
| 5295 | 51749 | 28 |
| 5296 | 51767 | 18 |
| 5297 | 51769 | 2 |
| 5298 | 51787 | 18 |
| 5299 | 51797 | 10 |
Questions
What is the 5296th prime number?
51767.
Which prime number is 51767?
51767 is the 5296th prime number.
What is the sum of the first 5296 primes?
129,309,721.