What is the 6795th prime number?
The 6795th prime number is 68279. The next prime is 68281 (a gap of 2) and the one before is 68261.
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 6795th one is 68279.
- 2
68279 is prime because no prime up to ā68279 ā 261.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6795th prime is close to 6795 Ć ln(6795) ā 59959, and here it is 68279.
- 4
68279 is a twin prime: 68279 and 68281 are both prime.
Primes around the 6795th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6792 | 68227 | 8 |
| 6793 | 68239 | 12 |
| 6794 | 68261 | 22 |
| 6795 | 68279 | 18 |
| 6796 | 68281 | 2 |
| 6797 | 68311 | 30 |
| 6798 | 68329 | 18 |
Questions
What is the 6795th prime number?
68279.
Which prime number is 68279?
68279 is the 6795th prime number.
What is the sum of the first 6795 primes?
219,211,750.