What is the 6765th prime number?
The 6765th prime number is 67931. The next prime is 67933 (a gap of 2) and the one before is 67927.
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 6765th one is 67931.
- 2
67931 is prime because no prime up to ā67931 ā 260.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6765th prime is close to 6765 Ć ln(6765) ā 59664, and here it is 67931.
- 4
67931 is a twin prime: 67931 and 67933 are both prime.
Primes around the 6765th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6762 | 67891 | 8 |
| 6763 | 67901 | 10 |
| 6764 | 67927 | 26 |
| 6765 | 67931 | 4 |
| 6766 | 67933 | 2 |
| 6767 | 67939 | 6 |
| 6768 | 67943 | 4 |
Questions
What is the 6765th prime number?
67931.
Which prime number is 67931?
67931 is the 6765th prime number.
What is the sum of the first 6765 primes?
217,168,960.