What is the 6767th prime number?
The 6767th prime number is 67939. The next prime is 67943 (a gap of 4) and the one before is 67933.
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 6767th one is 67939.
- 2
67939 is prime because no prime up to ā67939 ā 260.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6767th prime is close to 6767 Ć ln(6767) ā 59684, and here it is 67939.
- 4
67939 has no twin: neither 67937 nor 67941 is prime.
Primes around the 6767th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6764 | 67927 | 26 |
| 6765 | 67931 | 4 |
| 6766 | 67933 | 2 |
| 6767 | 67939 | 6 |
| 6768 | 67943 | 4 |
| 6769 | 67957 | 14 |
| 6770 | 67961 | 4 |
Questions
What is the 6767th prime number?
67939.
Which prime number is 67939?
67939 is the 6767th prime number.
What is the sum of the first 6767 primes?
217,304,832.