What is the 6837th prime number?
The 6837th prime number is 68777. The next prime is 68791 (a gap of 14) and the one before is 68771.
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 6837th one is 68777.
- 2
68777 is prime because no prime up to ā68777 ā 262.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6837th prime is close to 6837 Ć ln(6837) ā 60371, and here it is 68777.
- 4
68777 has no twin: neither 68775 nor 68779 is prime.
Primes around the 6837th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6834 | 68749 | 6 |
| 6835 | 68767 | 18 |
| 6836 | 68771 | 4 |
| 6837 | 68777 | 6 |
| 6838 | 68791 | 14 |
| 6839 | 68813 | 22 |
| 6840 | 68819 | 6 |
Questions
What is the 6837th prime number?
68777.
Which prime number is 68777?
68777 is the 6837th prime number.
What is the sum of the first 6837 primes?
222,091,234.