What is the 6843rd prime number?
The 6843rd prime number is 68879. The next prime is 68881 (a gap of 2) and the one before is 68863.
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 6843rd one is 68879.
- 2
68879 is prime because no prime up to ā68879 ā 262.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6843rd prime is close to 6843 Ć ln(6843) ā 60430, and here it is 68879.
- 4
68879 is a twin prime: 68879 and 68881 are both prime.
Primes around the 6843rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6840 | 68819 | 6 |
| 6841 | 68821 | 2 |
| 6842 | 68863 | 42 |
| 6843 | 68879 | 16 |
| 6844 | 68881 | 2 |
| 6845 | 68891 | 10 |
| 6846 | 68897 | 6 |
Questions
What is the 6843rd prime number?
68879.
Which prime number is 68879?
68879 is the 6843rd prime number.
What is the sum of the first 6843 primes?
222,504,220.