What is the 6683rd prime number?
The 6683rd prime number is 67073. The next prime is 67079 (a gap of 6) and the one before is 67061.
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 6683rd one is 67073.
- 2
67073 is prime because no prime up to ā67073 ā 258.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6683rd prime is close to 6683 Ć ln(6683) ā 58859, and here it is 67073.
- 4
67073 has no twin: neither 67071 nor 67075 is prime.
Primes around the 6683rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6680 | 67049 | 6 |
| 6681 | 67057 | 8 |
| 6682 | 67061 | 4 |
| 6683 | 67073 | 12 |
| 6684 | 67079 | 6 |
| 6685 | 67103 | 24 |
| 6686 | 67121 | 18 |
Questions
What is the 6683rd prime number?
67073.
Which prime number is 67073?
67073 is the 6683rd prime number.
What is the sum of the first 6683 primes?
211,633,770.