What is the 6758th prime number?
The 6758th prime number is 67843. The next prime is 67853 (a gap of 10) and the one before is 67829.
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 6758th one is 67843.
- 2
67843 is prime because no prime up to ā67843 ā 260.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6758th prime is close to 6758 Ć ln(6758) ā 59595, and here it is 67843.
- 4
67843 has no twin: neither 67841 nor 67845 is prime.
Primes around the 6758th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6755 | 67807 | 6 |
| 6756 | 67819 | 12 |
| 6757 | 67829 | 10 |
| 6758 | 67843 | 14 |
| 6759 | 67853 | 10 |
| 6760 | 67867 | 14 |
| 6761 | 67883 | 16 |
Questions
What is the 6758th prime number?
67843.
Which prime number is 67843?
67843 is the 6758th prime number.
What is the sum of the first 6758 primes?
216,693,707.