What is the 6766th prime number?
The 6766th prime number is 67933. The next prime is 67939 (a gap of 6) and the one before is 67931.
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 6766th one is 67933.
- 2
67933 is prime because no prime up to ā67933 ā 260.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6766th prime is close to 6766 Ć ln(6766) ā 59674, and here it is 67933.
- 4
67933 is a twin prime: 67931 and 67933 are both prime.
Primes around the 6766th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6763 | 67901 | 10 |
| 6764 | 67927 | 26 |
| 6765 | 67931 | 4 |
| 6766 | 67933 | 2 |
| 6767 | 67939 | 6 |
| 6768 | 67943 | 4 |
| 6769 | 67957 | 14 |
Questions
What is the 6766th prime number?
67933.
Which prime number is 67933?
67933 is the 6766th prime number.
What is the sum of the first 6766 primes?
217,236,893.