What is the 6850th prime number?
The 6850th prime number is 68917. The next prime is 68927 (a gap of 10) and the one before is 68909.
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 6850th one is 68917.
- 2
68917 is prime because no prime up to ā68917 ā 262.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6850th prime is close to 6850 Ć ln(6850) ā 60499, and here it is 68917.
- 4
68917 has no twin: neither 68915 nor 68919 is prime.
Primes around the 6850th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6847 | 68899 | 2 |
| 6848 | 68903 | 4 |
| 6849 | 68909 | 6 |
| 6850 | 68917 | 8 |
| 6851 | 68927 | 10 |
| 6852 | 68947 | 20 |
| 6853 | 68963 | 16 |
Questions
What is the 6850th prime number?
68917.
Which prime number is 68917?
68917 is the 6850th prime number.
What is the sum of the first 6850 primes?
222,986,517.