What is the 6830th prime number?
The 6830th prime number is 68713. The next prime is 68729 (a gap of 16) and the one before is 68711.
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 6830th one is 68713.
- 2
68713 is prime because no prime up to ā68713 ā 262.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6830th prime is close to 6830 Ć ln(6830) ā 60303, and here it is 68713.
- 4
68713 is a twin prime: 68711 and 68713 are both prime.
Primes around the 6830th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6827 | 68687 | 4 |
| 6828 | 68699 | 12 |
| 6829 | 68711 | 12 |
| 6830 | 68713 | 2 |
| 6831 | 68729 | 16 |
| 6832 | 68737 | 8 |
| 6833 | 68743 | 6 |
Questions
What is the 6830th prime number?
68713.
Which prime number is 68713?
68713 is the 6830th prime number.
What is the sum of the first 6830 primes?
221,609,961.