What is the 6689th prime number?
The 6689th prime number is 67141. The next prime is 67153 (a gap of 12) and the one before is 67139.
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 6689th one is 67141.
- 2
67141 is prime because no prime up to ā67141 ā 259.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6689th prime is close to 6689 Ć ln(6689) ā 58918, and here it is 67141.
- 4
67141 is a twin prime: 67139 and 67141 are both prime.
Primes around the 6689th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6686 | 67121 | 18 |
| 6687 | 67129 | 8 |
| 6688 | 67139 | 10 |
| 6689 | 67141 | 2 |
| 6690 | 67153 | 12 |
| 6691 | 67157 | 4 |
| 6692 | 67169 | 12 |
Questions
What is the 6689th prime number?
67141.
Which prime number is 67141?
67141 is the 6689th prime number.
What is the sum of the first 6689 primes?
212,036,482.