What is the 6840th prime number?
The 6840th prime number is 68819. The next prime is 68821 (a gap of 2) and the one before is 68813.
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 6840th one is 68819.
- 2
68819 is prime because no prime up to ā68819 ā 262.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6840th prime is close to 6840 Ć ln(6840) ā 60401, and here it is 68819.
- 4
68819 is a twin prime: 68819 and 68821 are both prime.
Primes around the 6840th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6837 | 68777 | 6 |
| 6838 | 68791 | 14 |
| 6839 | 68813 | 22 |
| 6840 | 68819 | 6 |
| 6841 | 68821 | 2 |
| 6842 | 68863 | 42 |
| 6843 | 68879 | 16 |
Questions
What is the 6840th prime number?
68819.
Which prime number is 68819?
68819 is the 6840th prime number.
What is the sum of the first 6840 primes?
222,297,657.