What is the 6293rd prime number?
The 6293rd prime number is 62687. The next prime is 62701 (a gap of 14) and the one before is 62683.
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 6293rd one is 62687.
- 2
62687 is prime because no prime up to ā62687 ā 250.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6293rd prime is close to 6293 Ć ln(6293) ā 55046, and here it is 62687.
- 4
62687 has no twin: neither 62685 nor 62689 is prime.
Primes around the 6293rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6290 | 62653 | 14 |
| 6291 | 62659 | 6 |
| 6292 | 62683 | 24 |
| 6293 | 62687 | 4 |
| 6294 | 62701 | 14 |
| 6295 | 62723 | 22 |
| 6296 | 62731 | 8 |
Questions
What is the 6293rd prime number?
62687.
Which prime number is 62687?
62687 is the 6293rd prime number.
What is the sum of the first 6293 primes?
186,327,084.