What is the 6849th prime number?
The 6849th prime number is 68909. The next prime is 68917 (a gap of 8) and the one before is 68903.
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 6849th one is 68909.
- 2
68909 is prime because no prime up to ā68909 ā 262.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6849th prime is close to 6849 Ć ln(6849) ā 60489, and here it is 68909.
- 4
68909 has no twin: neither 68907 nor 68911 is prime.
Primes around the 6849th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6846 | 68897 | 6 |
| 6847 | 68899 | 2 |
| 6848 | 68903 | 4 |
| 6849 | 68909 | 6 |
| 6850 | 68917 | 8 |
| 6851 | 68927 | 10 |
| 6852 | 68947 | 20 |
Questions
What is the 6849th prime number?
68909.
Which prime number is 68909?
68909 is the 6849th prime number.
What is the sum of the first 6849 primes?
222,917,600.