What is the 6768th prime number?
The 6768th prime number is 67943. The next prime is 67957 (a gap of 14) and the one before is 67939.
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 6768th one is 67943.
- 2
67943 is prime because no prime up to ā67943 ā 260.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6768th prime is close to 6768 Ć ln(6768) ā 59693, and here it is 67943.
- 4
67943 has no twin: neither 67941 nor 67945 is prime.
Primes around the 6768th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6765 | 67931 | 4 |
| 6766 | 67933 | 2 |
| 6767 | 67939 | 6 |
| 6768 | 67943 | 4 |
| 6769 | 67957 | 14 |
| 6770 | 67961 | 4 |
| 6771 | 67967 | 6 |
Questions
What is the 6768th prime number?
67943.
Which prime number is 67943?
67943 is the 6768th prime number.
What is the sum of the first 6768 primes?
217,372,775.