What is the 6706th prime number?
The 6706th prime number is 67307. The next prime is 67339 (a gap of 32) and the one before is 67289.
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 6706th one is 67307.
- 2
67307 is prime because no prime up to ā67307 ā 259.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6706th prime is close to 6706 Ć ln(6706) ā 59085, and here it is 67307.
- 4
67307 has no twin: neither 67305 nor 67309 is prime.
Primes around the 6706th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6703 | 67271 | 10 |
| 6704 | 67273 | 2 |
| 6705 | 67289 | 16 |
| 6706 | 67307 | 18 |
| 6707 | 67339 | 32 |
| 6708 | 67343 | 4 |
| 6709 | 67349 | 6 |
Questions
What is the 6706th prime number?
67307.
Which prime number is 67307?
67307 is the 6706th prime number.
What is the sum of the first 6706 primes?
213,179,257.