What is the 6760th prime number?
The 6760th prime number is 67867. The next prime is 67883 (a gap of 16) and the one before is 67853.
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 6760th one is 67867.
- 2
67867 is prime because no prime up to ā67867 ā 260.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6760th prime is close to 6760 Ć ln(6760) ā 59615, and here it is 67867.
- 4
67867 has no twin: neither 67865 nor 67869 is prime.
Primes around the 6760th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6757 | 67829 | 10 |
| 6758 | 67843 | 14 |
| 6759 | 67853 | 10 |
| 6760 | 67867 | 14 |
| 6761 | 67883 | 16 |
| 6762 | 67891 | 8 |
| 6763 | 67901 | 10 |
Questions
What is the 6760th prime number?
67867.
Which prime number is 67867?
67867 is the 6760th prime number.
What is the sum of the first 6760 primes?
216,829,427.