What is the 6717th prime number?
The 6717th prime number is 67429. The next prime is 67433 (a gap of 4) and the one before is 67427.
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 6717th one is 67429.
- 2
67429 is prime because no prime up to ā67429 ā 259.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6717th prime is close to 6717 Ć ln(6717) ā 59193, and here it is 67429.
- 4
67429 is a twin prime: 67427 and 67429 are both prime.
Primes around the 6717th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6714 | 67411 | 2 |
| 6715 | 67421 | 10 |
| 6716 | 67427 | 6 |
| 6717 | 67429 | 2 |
| 6718 | 67433 | 4 |
| 6719 | 67447 | 14 |
| 6720 | 67453 | 6 |
Questions
What is the 6717th prime number?
67429.
Which prime number is 67429?
67429 is the 6717th prime number.
What is the sum of the first 6717 primes?
213,920,544.