What is the 6833rd prime number?
The 6833rd prime number is 68743. The next prime is 68749 (a gap of 6) and the one before is 68737.
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 6833rd one is 68743.
- 2
68743 is prime because no prime up to ā68743 ā 262.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6833rd prime is close to 6833 Ć ln(6833) ā 60332, and here it is 68743.
- 4
68743 has no twin: neither 68741 nor 68745 is prime.
Primes around the 6833rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6830 | 68713 | 2 |
| 6831 | 68729 | 16 |
| 6832 | 68737 | 8 |
| 6833 | 68743 | 6 |
| 6834 | 68749 | 6 |
| 6835 | 68767 | 18 |
| 6836 | 68771 | 4 |
Questions
What is the 6833rd prime number?
68743.
Which prime number is 68743?
68743 is the 6833rd prime number.
What is the sum of the first 6833 primes?
221,816,170.