What is the 6835th prime number?
The 6835th prime number is 68767. The next prime is 68771 (a gap of 4) and the one before is 68749.
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 6835th one is 68767.
- 2
68767 is prime because no prime up to ā68767 ā 262.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6835th prime is close to 6835 Ć ln(6835) ā 60352, and here it is 68767.
- 4
68767 has no twin: neither 68765 nor 68769 is prime.
Primes around the 6835th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6832 | 68737 | 8 |
| 6833 | 68743 | 6 |
| 6834 | 68749 | 6 |
| 6835 | 68767 | 18 |
| 6836 | 68771 | 4 |
| 6837 | 68777 | 6 |
| 6838 | 68791 | 14 |
Questions
What is the 6835th prime number?
68767.
Which prime number is 68767?
68767 is the 6835th prime number.
What is the sum of the first 6835 primes?
221,953,686.