What is the 5293rd prime number?
The 5293rd prime number is 51719. The next prime is 51721 (a gap of 2) and the one before is 51713.
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 5293rd one is 51719.
- 2
51719 is prime because no prime up to ā51719 ā 227.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5293rd prime is close to 5293 Ć ln(5293) ā 45383, and here it is 51719.
- 4
51719 is a twin prime: 51719 and 51721 are both prime.
Primes around the 5293rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5290 | 51683 | 4 |
| 5291 | 51691 | 8 |
| 5292 | 51713 | 22 |
| 5293 | 51719 | 6 |
| 5294 | 51721 | 2 |
| 5295 | 51749 | 28 |
| 5296 | 51767 | 18 |
Questions
What is the 5293rd prime number?
51719.
Which prime number is 51719?
51719 is the 5293rd prime number.
What is the sum of the first 5293 primes?
129,154,484.