What is the 6757th prime number?
The 6757th prime number is 67829. The next prime is 67843 (a gap of 14) and the one before is 67819.
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 6757th one is 67829.
- 2
67829 is prime because no prime up to ā67829 ā 260.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6757th prime is close to 6757 Ć ln(6757) ā 59585, and here it is 67829.
- 4
67829 has no twin: neither 67827 nor 67831 is prime.
Primes around the 6757th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6754 | 67801 | 12 |
| 6755 | 67807 | 6 |
| 6756 | 67819 | 12 |
| 6757 | 67829 | 10 |
| 6758 | 67843 | 14 |
| 6759 | 67853 | 10 |
| 6760 | 67867 | 14 |
Questions
What is the 6757th prime number?
67829.
Which prime number is 67829?
67829 is the 6757th prime number.
What is the sum of the first 6757 primes?
216,625,864.