What is the 5292nd prime number?
The 5292nd prime number is 51713. The next prime is 51719 (a gap of 6) and the one before is 51691.
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 5292nd one is 51713.
- 2
51713 is prime because no prime up to ā51713 ā 227.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5292nd prime is close to 5292 Ć ln(5292) ā 45373, and here it is 51713.
- 4
51713 has no twin: neither 51711 nor 51715 is prime.
Primes around the 5292nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5289 | 51679 | 6 |
| 5290 | 51683 | 4 |
| 5291 | 51691 | 8 |
| 5292 | 51713 | 22 |
| 5293 | 51719 | 6 |
| 5294 | 51721 | 2 |
| 5295 | 51749 | 28 |
Questions
What is the 5292nd prime number?
51713.
Which prime number is 51713?
51713 is the 5292nd prime number.
What is the sum of the first 5292 primes?
129,102,765.