What is the 6297th prime number?
The 6297th prime number is 62743. The next prime is 62753 (a gap of 10) and the one before is 62731.
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 6297th one is 62743.
- 2
62743 is prime because no prime up to ā62743 ā 250.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6297th prime is close to 6297 Ć ln(6297) ā 55085, and here it is 62743.
- 4
62743 has no twin: neither 62741 nor 62745 is prime.
Primes around the 6297th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6294 | 62701 | 14 |
| 6295 | 62723 | 22 |
| 6296 | 62731 | 8 |
| 6297 | 62743 | 12 |
| 6298 | 62753 | 10 |
| 6299 | 62761 | 8 |
| 6300 | 62773 | 12 |
Questions
What is the 6297th prime number?
62743.
Which prime number is 62743?
62743 is the 6297th prime number.
What is the sum of the first 6297 primes?
186,577,982.