What is the 6825th prime number?
The 6825th prime number is 68669. The next prime is 68683 (a gap of 14) and the one before is 68659.
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 6825th one is 68669.
- 2
68669 is prime because no prime up to ā68669 ā 262.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6825th prime is close to 6825 Ć ln(6825) ā 60253, and here it is 68669.
- 4
68669 has no twin: neither 68667 nor 68671 is prime.
Primes around the 6825th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6822 | 68633 | 22 |
| 6823 | 68639 | 6 |
| 6824 | 68659 | 20 |
| 6825 | 68669 | 10 |
| 6826 | 68683 | 14 |
| 6827 | 68687 | 4 |
| 6828 | 68699 | 12 |
Questions
What is the 6825th prime number?
68669.
Which prime number is 68669?
68669 is the 6825th prime number.
What is the sum of the first 6825 primes?
221,266,468.