What is the 823rd prime number?
The 823rd prime number is 6323. The next prime is 6329 (a gap of 6) and the one before is 6317.
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 823rd one is 6323.
- 2
6323 is prime because no prime up to ā6323 ā 79.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 823rd prime is close to 823 Ć ln(823) ā 5525, and here it is 6323.
- 4
6323 has no twin: neither 6321 nor 6325 is prime.
Primes around the 823rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 820 | 6301 | 2 |
| 821 | 6311 | 10 |
| 822 | 6317 | 6 |
| 823 | 6323 | 6 |
| 824 | 6329 | 6 |
| 825 | 6337 | 8 |
| 826 | 6343 | 6 |
Questions
What is the 823rd prime number?
6323.
Which prime number is 6323?
6323 is the 823rd prime number.
What is the sum of the first 823 primes?
2,421,488.