What is the 6763rd prime number?
The 6763rd prime number is 67901. The next prime is 67927 (a gap of 26) and the one before is 67891.
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 6763rd one is 67901.
- 2
67901 is prime because no prime up to ā67901 ā 260.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6763rd prime is close to 6763 Ć ln(6763) ā 59644, and here it is 67901.
- 4
67901 has no twin: neither 67899 nor 67903 is prime.
Primes around the 6763rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6760 | 67867 | 14 |
| 6761 | 67883 | 16 |
| 6762 | 67891 | 8 |
| 6763 | 67901 | 10 |
| 6764 | 67927 | 26 |
| 6765 | 67931 | 4 |
| 6766 | 67933 | 2 |
Questions
What is the 6763rd prime number?
67901.
Which prime number is 67901?
67901 is the 6763rd prime number.
What is the sum of the first 6763 primes?
217,033,102.