What is the 6703rd prime number?
The 6703rd prime number is 67271. The next prime is 67273 (a gap of 2) and the one before is 67261.
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 6703rd one is 67271.
- 2
67271 is prime because no prime up to ā67271 ā 259.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6703rd prime is close to 6703 Ć ln(6703) ā 59056, and here it is 67271.
- 4
67271 is a twin prime: 67271 and 67273 are both prime.
Primes around the 6703rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6700 | 67231 | 12 |
| 6701 | 67247 | 16 |
| 6702 | 67261 | 14 |
| 6703 | 67271 | 10 |
| 6704 | 67273 | 2 |
| 6705 | 67289 | 16 |
| 6706 | 67307 | 18 |
Questions
What is the 6703rd prime number?
67271.
Which prime number is 67271?
67271 is the 6703rd prime number.
What is the sum of the first 6703 primes?
212,977,388.