What is the 804th prime number?
The 804th prime number is 6173. The next prime is 6197 (a gap of 24) and the one before is 6163.
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 804th one is 6173.
- 2
6173 is prime because no prime up to ā6173 ā 78.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 804th prime is close to 804 Ć ln(804) ā 5378, and here it is 6173.
- 4
6173 has no twin: neither 6171 nor 6175 is prime.
Primes around the 804th
| Position | Prime | Gap from the previous |
|---|---|---|
| 801 | 6143 | 10 |
| 802 | 6151 | 8 |
| 803 | 6163 | 12 |
| 804 | 6173 | 10 |
| 805 | 6197 | 24 |
| 806 | 6199 | 2 |
| 807 | 6203 | 4 |
Questions
What is the 804th prime number?
6173.
Which prime number is 6173?
6173 is the 804th prime number.
What is the sum of the first 804 primes?
2,302,589.