What is the 6698th prime number?
The 6698th prime number is 67217. The next prime is 67219 (a gap of 2) and the one before is 67213.
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 6698th one is 67217.
- 2
67217 is prime because no prime up to ā67217 ā 259.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6698th prime is close to 6698 Ć ln(6698) ā 59006, and here it is 67217.
- 4
67217 is a twin prime: 67217 and 67219 are both prime.
Primes around the 6698th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6695 | 67189 | 2 |
| 6696 | 67211 | 22 |
| 6697 | 67213 | 2 |
| 6698 | 67217 | 4 |
| 6699 | 67219 | 2 |
| 6700 | 67231 | 12 |
| 6701 | 67247 | 16 |
Questions
What is the 6698th prime number?
67217.
Which prime number is 67217?
67217 is the 6698th prime number.
What is the sum of the first 6698 primes?
212,641,159.