What is the 6793rd prime number?
The 6793rd prime number is 68239. The next prime is 68261 (a gap of 22) and the one before is 68227.
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 6793rd one is 68239.
- 2
68239 is prime because no prime up to ā68239 ā 261.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6793rd prime is close to 6793 Ć ln(6793) ā 59939, and here it is 68239.
- 4
68239 has no twin: neither 68237 nor 68241 is prime.
Primes around the 6793rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6790 | 68213 | 4 |
| 6791 | 68219 | 6 |
| 6792 | 68227 | 8 |
| 6793 | 68239 | 12 |
| 6794 | 68261 | 22 |
| 6795 | 68279 | 18 |
| 6796 | 68281 | 2 |
Questions
What is the 6793rd prime number?
68239.
Which prime number is 68239?
68239 is the 6793rd prime number.
What is the sum of the first 6793 primes?
219,075,210.