What is the 6841st prime number?
The 6841st prime number is 68821. The next prime is 68863 (a gap of 42) and the one before is 68819.
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 6841st one is 68821.
- 2
68821 is prime because no prime up to ā68821 ā 262.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6841st prime is close to 6841 Ć ln(6841) ā 60411, and here it is 68821.
- 4
68821 is a twin prime: 68819 and 68821 are both prime.
Primes around the 6841st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6838 | 68791 | 14 |
| 6839 | 68813 | 22 |
| 6840 | 68819 | 6 |
| 6841 | 68821 | 2 |
| 6842 | 68863 | 42 |
| 6843 | 68879 | 16 |
| 6844 | 68881 | 2 |
Questions
What is the 6841st prime number?
68821.
Which prime number is 68821?
68821 is the 6841st prime number.
What is the sum of the first 6841 primes?
222,366,478.