What is the 6708th prime number?
The 6708th prime number is 67343. The next prime is 67349 (a gap of 6) and the one before is 67339.
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 6708th one is 67343.
- 2
67343 is prime because no prime up to ā67343 ā 259.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6708th prime is close to 6708 Ć ln(6708) ā 59105, and here it is 67343.
- 4
67343 has no twin: neither 67341 nor 67345 is prime.
Primes around the 6708th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6705 | 67289 | 16 |
| 6706 | 67307 | 18 |
| 6707 | 67339 | 32 |
| 6708 | 67343 | 4 |
| 6709 | 67349 | 6 |
| 6710 | 67369 | 20 |
| 6711 | 67391 | 22 |
Questions
What is the 6708th prime number?
67343.
Which prime number is 67343?
67343 is the 6708th prime number.
What is the sum of the first 6708 primes?
213,313,939.