What is the 6792nd prime number?
The 6792nd prime number is 68227. The next prime is 68239 (a gap of 12) and the one before is 68219.
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 6792nd one is 68227.
- 2
68227 is prime because no prime up to ā68227 ā 261.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6792nd prime is close to 6792 Ć ln(6792) ā 59929, and here it is 68227.
- 4
68227 has no twin: neither 68225 nor 68229 is prime.
Primes around the 6792nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6789 | 68209 | 2 |
| 6790 | 68213 | 4 |
| 6791 | 68219 | 6 |
| 6792 | 68227 | 8 |
| 6793 | 68239 | 12 |
| 6794 | 68261 | 22 |
| 6795 | 68279 | 18 |
Questions
What is the 6792nd prime number?
68227.
Which prime number is 68227?
68227 is the 6792nd prime number.
What is the sum of the first 6792 primes?
219,006,971.