What is the 6295th prime number?
The 6295th prime number is 62723. The next prime is 62731 (a gap of 8) and the one before is 62701.
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 6295th one is 62723.
- 2
62723 is prime because no prime up to ā62723 ā 250.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6295th prime is close to 6295 Ć ln(6295) ā 55066, and here it is 62723.
- 4
62723 has no twin: neither 62721 nor 62725 is prime.
Primes around the 6295th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6292 | 62683 | 24 |
| 6293 | 62687 | 4 |
| 6294 | 62701 | 14 |
| 6295 | 62723 | 22 |
| 6296 | 62731 | 8 |
| 6297 | 62743 | 12 |
| 6298 | 62753 | 10 |
Questions
What is the 6295th prime number?
62723.
Which prime number is 62723?
62723 is the 6295th prime number.
What is the sum of the first 6295 primes?
186,452,508.