What is the 6845th prime number?
The 6845th prime number is 68891. The next prime is 68897 (a gap of 6) and the one before is 68881.
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 6845th one is 68891.
- 2
68891 is prime because no prime up to ā68891 ā 262.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6845th prime is close to 6845 Ć ln(6845) ā 60450, and here it is 68891.
- 4
68891 has no twin: neither 68889 nor 68893 is prime.
Primes around the 6845th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6842 | 68863 | 42 |
| 6843 | 68879 | 16 |
| 6844 | 68881 | 2 |
| 6845 | 68891 | 10 |
| 6846 | 68897 | 6 |
| 6847 | 68899 | 2 |
| 6848 | 68903 | 4 |
Questions
What is the 6845th prime number?
68891.
Which prime number is 68891?
68891 is the 6845th prime number.
What is the sum of the first 6845 primes?
222,641,992.