What is the 806th prime number?
The 806th prime number is 6199. The next prime is 6203 (a gap of 4) and the one before is 6197.
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 806th one is 6199.
- 2
6199 is prime because no prime up to ā6199 ā 78.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 806th prime is close to 806 Ć ln(806) ā 5394, and here it is 6199.
- 4
6199 is a twin prime: 6197 and 6199 are both prime.
Primes around the 806th
| Position | Prime | Gap from the previous |
|---|---|---|
| 803 | 6163 | 12 |
| 804 | 6173 | 10 |
| 805 | 6197 | 24 |
| 806 | 6199 | 2 |
| 807 | 6203 | 4 |
| 808 | 6211 | 8 |
| 809 | 6217 | 6 |
Questions
What is the 806th prime number?
6199.
Which prime number is 6199?
6199 is the 806th prime number.
What is the sum of the first 806 primes?
2,314,985.