What is the 6804th prime number?
The 6804th prime number is 68443. The next prime is 68447 (a gap of 4) and the one before is 68437.
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 6804th one is 68443.
- 2
68443 is prime because no prime up to ā68443 ā 261.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6804th prime is close to 6804 Ć ln(6804) ā 60047, and here it is 68443.
- 4
68443 has no twin: neither 68441 nor 68445 is prime.
Primes around the 6804th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6801 | 68389 | 18 |
| 6802 | 68399 | 10 |
| 6803 | 68437 | 38 |
| 6804 | 68443 | 6 |
| 6805 | 68447 | 4 |
| 6806 | 68449 | 2 |
| 6807 | 68473 | 24 |
Questions
What is the 6804th prime number?
68443.
Which prime number is 68443?
68443 is the 6804th prime number.
What is the sum of the first 6804 primes?
219,827,061.