What is the 6679th prime number?
The 6679th prime number is 67043. The next prime is 67049 (a gap of 6) and the one before is 67033.
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 6679th one is 67043.
- 2
67043 is prime because no prime up to ā67043 ā 258.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6679th prime is close to 6679 Ć ln(6679) ā 58820, and here it is 67043.
- 4
67043 has no twin: neither 67041 nor 67045 is prime.
Primes around the 6679th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6676 | 67003 | 26 |
| 6677 | 67021 | 18 |
| 6678 | 67033 | 12 |
| 6679 | 67043 | 10 |
| 6680 | 67049 | 6 |
| 6681 | 67057 | 8 |
| 6682 | 67061 | 4 |
Questions
What is the 6679th prime number?
67043.
Which prime number is 67043?
67043 is the 6679th prime number.
What is the sum of the first 6679 primes?
211,365,530.