What is the 6794th prime number?
The 6794th prime number is 68261. The next prime is 68279 (a gap of 18) and the one before is 68239.
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 6794th one is 68261.
- 2
68261 is prime because no prime up to ā68261 ā 261.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6794th prime is close to 6794 Ć ln(6794) ā 59949, and here it is 68261.
- 4
68261 has no twin: neither 68259 nor 68263 is prime.
Primes around the 6794th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6791 | 68219 | 6 |
| 6792 | 68227 | 8 |
| 6793 | 68239 | 12 |
| 6794 | 68261 | 22 |
| 6795 | 68279 | 18 |
| 6796 | 68281 | 2 |
| 6797 | 68311 | 30 |
Questions
What is the 6794th prime number?
68261.
Which prime number is 68261?
68261 is the 6794th prime number.
What is the sum of the first 6794 primes?
219,143,471.