What is the 6716th prime number?
The 6716th prime number is 67427. The next prime is 67429 (a gap of 2) and the one before is 67421.
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 6716th one is 67427.
- 2
67427 is prime because no prime up to ā67427 ā 259.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6716th prime is close to 6716 Ć ln(6716) ā 59183, and here it is 67427.
- 4
67427 is a twin prime: 67427 and 67429 are both prime.
Primes around the 6716th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6713 | 67409 | 10 |
| 6714 | 67411 | 2 |
| 6715 | 67421 | 10 |
| 6716 | 67427 | 6 |
| 6717 | 67429 | 2 |
| 6718 | 67433 | 4 |
| 6719 | 67447 | 14 |
Questions
What is the 6716th prime number?
67427.
Which prime number is 67427?
67427 is the 6716th prime number.
What is the sum of the first 6716 primes?
213,853,115.