What is the 6764th prime number?
The 6764th prime number is 67927. The next prime is 67931 (a gap of 4) and the one before is 67901.
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 6764th one is 67927.
- 2
67927 is prime because no prime up to ā67927 ā 260.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6764th prime is close to 6764 Ć ln(6764) ā 59654, and here it is 67927.
- 4
67927 has no twin: neither 67925 nor 67929 is prime.
Primes around the 6764th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6761 | 67883 | 16 |
| 6762 | 67891 | 8 |
| 6763 | 67901 | 10 |
| 6764 | 67927 | 26 |
| 6765 | 67931 | 4 |
| 6766 | 67933 | 2 |
| 6767 | 67939 | 6 |
Questions
What is the 6764th prime number?
67927.
Which prime number is 67927?
67927 is the 6764th prime number.
What is the sum of the first 6764 primes?
217,101,029.