What is the 6715th prime number?
The 6715th prime number is 67421. The next prime is 67427 (a gap of 6) and the one before is 67411.
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 6715th one is 67421.
- 2
67421 is prime because no prime up to ā67421 ā 259.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6715th prime is close to 6715 Ć ln(6715) ā 59173, and here it is 67421.
- 4
67421 has no twin: neither 67419 nor 67423 is prime.
Primes around the 6715th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6712 | 67399 | 8 |
| 6713 | 67409 | 10 |
| 6714 | 67411 | 2 |
| 6715 | 67421 | 10 |
| 6716 | 67427 | 6 |
| 6717 | 67429 | 2 |
| 6718 | 67433 | 4 |
Questions
What is the 6715th prime number?
67421.
Which prime number is 67421?
67421 is the 6715th prime number.
What is the sum of the first 6715 primes?
213,785,688.