What is the 6693rd prime number?
The 6693rd prime number is 67181. The next prime is 67187 (a gap of 6) and the one before is 67169.
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 6693rd one is 67181.
- 2
67181 is prime because no prime up to ā67181 ā 259.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6693rd prime is close to 6693 Ć ln(6693) ā 58957, and here it is 67181.
- 4
67181 has no twin: neither 67179 nor 67183 is prime.
Primes around the 6693rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6690 | 67153 | 12 |
| 6691 | 67157 | 4 |
| 6692 | 67169 | 12 |
| 6693 | 67181 | 12 |
| 6694 | 67187 | 6 |
| 6695 | 67189 | 2 |
| 6696 | 67211 | 22 |
Questions
What is the 6693rd prime number?
67181.
Which prime number is 67181?
67181 is the 6693rd prime number.
What is the sum of the first 6693 primes?
212,305,142.