What is the 8231st prime number?
The 8231st prime number is 84443. The next prime is 84449 (a gap of 6) and the one before is 84437.
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 8231st one is 84443.
- 2
84443 is prime because no prime up to ā84443 ā 290.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8231st prime is close to 8231 Ć ln(8231) ā 74208, and here it is 84443.
- 4
84443 has no twin: neither 84441 nor 84445 is prime.
Primes around the 8231st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8228 | 84421 | 14 |
| 8229 | 84431 | 10 |
| 8230 | 84437 | 6 |
| 8231 | 84443 | 6 |
| 8232 | 84449 | 6 |
| 8233 | 84457 | 8 |
| 8234 | 84463 | 6 |
Questions
What is the 8231st prime number?
84443.
Which prime number is 84443?
84443 is the 8231st prime number.
What is the sum of the first 8231 primes?
328,875,644.