What is the 6831st prime number?
The 6831st prime number is 68729. The next prime is 68737 (a gap of 8) and the one before is 68713.
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 6831st one is 68729.
- 2
68729 is prime because no prime up to ā68729 ā 262.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6831st prime is close to 6831 Ć ln(6831) ā 60312, and here it is 68729.
- 4
68729 has no twin: neither 68727 nor 68731 is prime.
Primes around the 6831st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6828 | 68699 | 12 |
| 6829 | 68711 | 12 |
| 6830 | 68713 | 2 |
| 6831 | 68729 | 16 |
| 6832 | 68737 | 8 |
| 6833 | 68743 | 6 |
| 6834 | 68749 | 6 |
Questions
What is the 6831st prime number?
68729.
Which prime number is 68729?
68729 is the 6831st prime number.
What is the sum of the first 6831 primes?
221,678,690.