What is the 6797th prime number?
The 6797th prime number is 68311. The next prime is 68329 (a gap of 18) and the one before is 68281.
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 6797th one is 68311.
- 2
68311 is prime because no prime up to ā68311 ā 261.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6797th prime is close to 6797 Ć ln(6797) ā 59978, and here it is 68311.
- 4
68311 has no twin: neither 68309 nor 68313 is prime.
Primes around the 6797th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6794 | 68261 | 22 |
| 6795 | 68279 | 18 |
| 6796 | 68281 | 2 |
| 6797 | 68311 | 30 |
| 6798 | 68329 | 18 |
| 6799 | 68351 | 22 |
| 6800 | 68371 | 20 |
Questions
What is the 6797th prime number?
68311.
Which prime number is 68311?
68311 is the 6797th prime number.
What is the sum of the first 6797 primes?
219,348,342.