What is the 811th prime number?
The 811th prime number is 6229. The next prime is 6247 (a gap of 18) and the one before is 6221.
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 811th one is 6229.
- 2
6229 is prime because no prime up to ā6229 ā 78.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 811th prime is close to 811 Ć ln(811) ā 5432, and here it is 6229.
- 4
6229 has no twin: neither 6227 nor 6231 is prime.
Primes around the 811th
| Position | Prime | Gap from the previous |
|---|---|---|
| 808 | 6211 | 8 |
| 809 | 6217 | 6 |
| 810 | 6221 | 4 |
| 811 | 6229 | 8 |
| 812 | 6247 | 18 |
| 813 | 6257 | 10 |
| 814 | 6263 | 6 |
Questions
What is the 811th prime number?
6229.
Which prime number is 6229?
6229 is the 811th prime number.
What is the sum of the first 811 primes?
2,346,066.