What is the 803rd prime number?
The 803rd prime number is 6163. The next prime is 6173 (a gap of 10) and the one before is 6151.
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 803rd one is 6163.
- 2
6163 is prime because no prime up to ā6163 ā 78.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 803rd prime is close to 803 Ć ln(803) ā 5371, and here it is 6163.
- 4
6163 has no twin: neither 6161 nor 6165 is prime.
Primes around the 803rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 800 | 6133 | 2 |
| 801 | 6143 | 10 |
| 802 | 6151 | 8 |
| 803 | 6163 | 12 |
| 804 | 6173 | 10 |
| 805 | 6197 | 24 |
| 806 | 6199 | 2 |
Questions
What is the 803rd prime number?
6163.
Which prime number is 6163?
6163 is the 803rd prime number.
What is the sum of the first 803 primes?
2,296,416.