What is the 6292nd prime number?
The 6292nd prime number is 62683. The next prime is 62687 (a gap of 4) and the one before is 62659.
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 6292nd one is 62683.
- 2
62683 is prime because no prime up to ā62683 ā 250.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6292nd prime is close to 6292 Ć ln(6292) ā 55036, and here it is 62683.
- 4
62683 has no twin: neither 62681 nor 62685 is prime.
Primes around the 6292nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6289 | 62639 | 6 |
| 6290 | 62653 | 14 |
| 6291 | 62659 | 6 |
| 6292 | 62683 | 24 |
| 6293 | 62687 | 4 |
| 6294 | 62701 | 14 |
| 6295 | 62723 | 22 |
Questions
What is the 6292nd prime number?
62683.
Which prime number is 62683?
62683 is the 6292nd prime number.
What is the sum of the first 6292 primes?
186,264,397.