What is the 6789th prime number?
The 6789th prime number is 68209. The next prime is 68213 (a gap of 4) and the one before is 68207.
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 6789th one is 68209.
- 2
68209 is prime because no prime up to ā68209 ā 261.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6789th prime is close to 6789 Ć ln(6789) ā 59900, and here it is 68209.
- 4
68209 is a twin prime: 68207 and 68209 are both prime.
Primes around the 6789th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6786 | 68161 | 14 |
| 6787 | 68171 | 10 |
| 6788 | 68207 | 36 |
| 6789 | 68209 | 2 |
| 6790 | 68213 | 4 |
| 6791 | 68219 | 6 |
| 6792 | 68227 | 8 |
Questions
What is the 6789th prime number?
68209.
Which prime number is 68209?
68209 is the 6789th prime number.
What is the sum of the first 6789 primes?
218,802,312.