What is the 6762nd prime number?
The 6762nd prime number is 67891. The next prime is 67901 (a gap of 10) and the one before is 67883.
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 6762nd one is 67891.
- 2
67891 is prime because no prime up to ā67891 ā 260.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6762nd prime is close to 6762 Ć ln(6762) ā 59635, and here it is 67891.
- 4
67891 has no twin: neither 67889 nor 67893 is prime.
Primes around the 6762nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6759 | 67853 | 10 |
| 6760 | 67867 | 14 |
| 6761 | 67883 | 16 |
| 6762 | 67891 | 8 |
| 6763 | 67901 | 10 |
| 6764 | 67927 | 26 |
| 6765 | 67931 | 4 |
Questions
What is the 6762nd prime number?
67891.
Which prime number is 67891?
67891 is the 6762nd prime number.
What is the sum of the first 6762 primes?
216,965,201.