What is the 808th prime number?
The 808th prime number is 6211. The next prime is 6217 (a gap of 6) and the one before is 6203.
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 808th one is 6211.
- 2
6211 is prime because no prime up to ā6211 ā 78.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 808th prime is close to 808 Ć ln(808) ā 5409, and here it is 6211.
- 4
6211 has no twin: neither 6209 nor 6213 is prime.
Primes around the 808th
| Position | Prime | Gap from the previous |
|---|---|---|
| 805 | 6197 | 24 |
| 806 | 6199 | 2 |
| 807 | 6203 | 4 |
| 808 | 6211 | 8 |
| 809 | 6217 | 6 |
| 810 | 6221 | 4 |
| 811 | 6229 | 8 |
Questions
What is the 808th prime number?
6211.
Which prime number is 6211?
6211 is the 808th prime number.
What is the sum of the first 808 primes?
2,327,399.