What is the 6704th prime number?
The 6704th prime number is 67273. The next prime is 67289 (a gap of 16) and the one before is 67271.
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 6704th one is 67273.
- 2
67273 is prime because no prime up to ā67273 ā 259.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6704th prime is close to 6704 Ć ln(6704) ā 59065, and here it is 67273.
- 4
67273 is a twin prime: 67271 and 67273 are both prime.
Primes around the 6704th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6701 | 67247 | 16 |
| 6702 | 67261 | 14 |
| 6703 | 67271 | 10 |
| 6704 | 67273 | 2 |
| 6705 | 67289 | 16 |
| 6706 | 67307 | 18 |
| 6707 | 67339 | 32 |
Questions
What is the 6704th prime number?
67273.
Which prime number is 67273?
67273 is the 6704th prime number.
What is the sum of the first 6704 primes?
213,044,661.