What is the 6697th prime number?
The 6697th prime number is 67213. The next prime is 67217 (a gap of 4) and the one before is 67211.
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 6697th one is 67213.
- 2
67213 is prime because no prime up to ā67213 ā 259.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6697th prime is close to 6697 Ć ln(6697) ā 58997, and here it is 67213.
- 4
67213 is a twin prime: 67211 and 67213 are both prime.
Primes around the 6697th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6694 | 67187 | 6 |
| 6695 | 67189 | 2 |
| 6696 | 67211 | 22 |
| 6697 | 67213 | 2 |
| 6698 | 67217 | 4 |
| 6699 | 67219 | 2 |
| 6700 | 67231 | 12 |
Questions
What is the 6697th prime number?
67213.
Which prime number is 67213?
67213 is the 6697th prime number.
What is the sum of the first 6697 primes?
212,573,942.