What is the 5297th prime number?
The 5297th prime number is 51769. The next prime is 51787 (a gap of 18) and the one before is 51767.
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 5297th one is 51769.
- 2
51769 is prime because no prime up to ā51769 ā 227.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5297th prime is close to 5297 Ć ln(5297) ā 45421, and here it is 51769.
- 4
51769 is a twin prime: 51767 and 51769 are both prime.
Primes around the 5297th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5294 | 51721 | 2 |
| 5295 | 51749 | 28 |
| 5296 | 51767 | 18 |
| 5297 | 51769 | 2 |
| 5298 | 51787 | 18 |
| 5299 | 51797 | 10 |
| 5300 | 51803 | 6 |
Questions
What is the 5297th prime number?
51769.
Which prime number is 51769?
51769 is the 5297th prime number.
What is the sum of the first 5297 primes?
129,361,490.