What is the 809th prime number?
The 809th prime number is 6217. The next prime is 6221 (a gap of 4) and the one before is 6211.
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 809th one is 6217.
- 2
6217 is prime because no prime up to ā6217 ā 78.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 809th prime is close to 809 Ć ln(809) ā 5417, and here it is 6217.
- 4
6217 has no twin: neither 6215 nor 6219 is prime.
Primes around the 809th
| Position | Prime | Gap from the previous |
|---|---|---|
| 806 | 6199 | 2 |
| 807 | 6203 | 4 |
| 808 | 6211 | 8 |
| 809 | 6217 | 6 |
| 810 | 6221 | 4 |
| 811 | 6229 | 8 |
| 812 | 6247 | 18 |
Questions
What is the 809th prime number?
6217.
Which prime number is 6217?
6217 is the 809th prime number.
What is the sum of the first 809 primes?
2,333,616.