What is the 812th prime number?
The 812th prime number is 6247. The next prime is 6257 (a gap of 10) and the one before is 6229.
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 812th one is 6247.
- 2
6247 is prime because no prime up to ā6247 ā 79.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 812th prime is close to 812 Ć ln(812) ā 5440, and here it is 6247.
- 4
6247 has no twin: neither 6245 nor 6249 is prime.
Primes around the 812th
| Position | Prime | Gap from the previous |
|---|---|---|
| 809 | 6217 | 6 |
| 810 | 6221 | 4 |
| 811 | 6229 | 8 |
| 812 | 6247 | 18 |
| 813 | 6257 | 10 |
| 814 | 6263 | 6 |
| 815 | 6269 | 6 |
Questions
What is the 812th prime number?
6247.
Which prime number is 6247?
6247 is the 812th prime number.
What is the sum of the first 812 primes?
2,352,313.