What is the 6718th prime number?
The 6718th prime number is 67433. The next prime is 67447 (a gap of 14) and the one before is 67429.
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 6718th one is 67433.
- 2
67433 is prime because no prime up to ā67433 ā 259.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6718th prime is close to 6718 Ć ln(6718) ā 59203, and here it is 67433.
- 4
67433 has no twin: neither 67431 nor 67435 is prime.
Primes around the 6718th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6715 | 67421 | 10 |
| 6716 | 67427 | 6 |
| 6717 | 67429 | 2 |
| 6718 | 67433 | 4 |
| 6719 | 67447 | 14 |
| 6720 | 67453 | 6 |
| 6721 | 67477 | 24 |
Questions
What is the 6718th prime number?
67433.
Which prime number is 67433?
67433 is the 6718th prime number.
What is the sum of the first 6718 primes?
213,987,977.