What is the 6699th prime number?
The 6699th prime number is 67219. The next prime is 67231 (a gap of 12) and the one before is 67217.
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 6699th one is 67219.
- 2
67219 is prime because no prime up to ā67219 ā 259.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6699th prime is close to 6699 Ć ln(6699) ā 59016, and here it is 67219.
- 4
67219 is a twin prime: 67217 and 67219 are both prime.
Primes around the 6699th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6696 | 67211 | 22 |
| 6697 | 67213 | 2 |
| 6698 | 67217 | 4 |
| 6699 | 67219 | 2 |
| 6700 | 67231 | 12 |
| 6701 | 67247 | 16 |
| 6702 | 67261 | 14 |
Questions
What is the 6699th prime number?
67219.
Which prime number is 67219?
67219 is the 6699th prime number.
What is the sum of the first 6699 primes?
212,708,378.