What is the 6714th prime number?
The 6714th prime number is 67411. The next prime is 67421 (a gap of 10) and the one before is 67409.
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 6714th one is 67411.
- 2
67411 is prime because no prime up to ā67411 ā 259.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6714th prime is close to 6714 Ć ln(6714) ā 59163, and here it is 67411.
- 4
67411 is a twin prime: 67409 and 67411 are both prime.
Primes around the 6714th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6711 | 67391 | 22 |
| 6712 | 67399 | 8 |
| 6713 | 67409 | 10 |
| 6714 | 67411 | 2 |
| 6715 | 67421 | 10 |
| 6716 | 67427 | 6 |
| 6717 | 67429 | 2 |
Questions
What is the 6714th prime number?
67411.
Which prime number is 67411?
67411 is the 6714th prime number.
What is the sum of the first 6714 primes?
213,718,267.