What is the 8233rd prime number?
The 8233rd prime number is 84457. The next prime is 84463 (a gap of 6) and the one before is 84449.
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 8233rd one is 84457.
- 2
84457 is prime because no prime up to ā84457 ā 290.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8233rd prime is close to 8233 Ć ln(8233) ā 74228, and here it is 84457.
- 4
84457 has no twin: neither 84455 nor 84459 is prime.
Primes around the 8233rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8230 | 84437 | 6 |
| 8231 | 84443 | 6 |
| 8232 | 84449 | 6 |
| 8233 | 84457 | 8 |
| 8234 | 84463 | 6 |
| 8235 | 84467 | 4 |
| 8236 | 84481 | 14 |
Questions
What is the 8233rd prime number?
84457.
Which prime number is 84457?
84457 is the 8233rd prime number.
What is the sum of the first 8233 primes?
329,044,550.