What is the 6705th prime number?
The 6705th prime number is 67289. The next prime is 67307 (a gap of 18) and the one before is 67273.
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 6705th one is 67289.
- 2
67289 is prime because no prime up to ā67289 ā 259.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6705th prime is close to 6705 Ć ln(6705) ā 59075, and here it is 67289.
- 4
67289 has no twin: neither 67287 nor 67291 is prime.
Primes around the 6705th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6702 | 67261 | 14 |
| 6703 | 67271 | 10 |
| 6704 | 67273 | 2 |
| 6705 | 67289 | 16 |
| 6706 | 67307 | 18 |
| 6707 | 67339 | 32 |
| 6708 | 67343 | 4 |
Questions
What is the 6705th prime number?
67289.
Which prime number is 67289?
67289 is the 6705th prime number.
What is the sum of the first 6705 primes?
213,111,950.