What is the 6823rd prime number?
The 6823rd prime number is 68639. The next prime is 68659 (a gap of 20) and the one before is 68633.
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 6823rd one is 68639.
- 2
68639 is prime because no prime up to ā68639 ā 261.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6823rd prime is close to 6823 Ć ln(6823) ā 60234, and here it is 68639.
- 4
68639 has no twin: neither 68637 nor 68641 is prime.
Primes around the 6823rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6820 | 68597 | 16 |
| 6821 | 68611 | 14 |
| 6822 | 68633 | 22 |
| 6823 | 68639 | 6 |
| 6824 | 68659 | 20 |
| 6825 | 68669 | 10 |
| 6826 | 68683 | 14 |
Questions
What is the 6823rd prime number?
68639.
Which prime number is 68639?
68639 is the 6823rd prime number.
What is the sum of the first 6823 primes?
221,129,140.