What is the 6788th prime number?
The 6788th prime number is 68207. The next prime is 68209 (a gap of 2) and the one before is 68171.
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 6788th one is 68207.
- 2
68207 is prime because no prime up to ā68207 ā 261.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6788th prime is close to 6788 Ć ln(6788) ā 59890, and here it is 68207.
- 4
68207 is a twin prime: 68207 and 68209 are both prime.
Primes around the 6788th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6785 | 68147 | 6 |
| 6786 | 68161 | 14 |
| 6787 | 68171 | 10 |
| 6788 | 68207 | 36 |
| 6789 | 68209 | 2 |
| 6790 | 68213 | 4 |
| 6791 | 68219 | 6 |
Questions
What is the 6788th prime number?
68207.
Which prime number is 68207?
68207 is the 6788th prime number.
What is the sum of the first 6788 primes?
218,734,103.