What is the 6692nd prime number?
The 6692nd prime number is 67169. The next prime is 67181 (a gap of 12) and the one before is 67157.
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 6692nd one is 67169.
- 2
67169 is prime because no prime up to ā67169 ā 259.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6692nd prime is close to 6692 Ć ln(6692) ā 58948, and here it is 67169.
- 4
67169 has no twin: neither 67167 nor 67171 is prime.
Primes around the 6692nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6689 | 67141 | 2 |
| 6690 | 67153 | 12 |
| 6691 | 67157 | 4 |
| 6692 | 67169 | 12 |
| 6693 | 67181 | 12 |
| 6694 | 67187 | 6 |
| 6695 | 67189 | 2 |
Questions
What is the 6692nd prime number?
67169.
Which prime number is 67169?
67169 is the 6692nd prime number.
What is the sum of the first 6692 primes?
212,237,961.