What is the 8230th prime number?
The 8230th prime number is 84437. The next prime is 84443 (a gap of 6) and the one before is 84431.
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 8230th one is 84437.
- 2
84437 is prime because no prime up to ā84437 ā 290.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8230th prime is close to 8230 Ć ln(8230) ā 74198, and here it is 84437.
- 4
84437 has no twin: neither 84435 nor 84439 is prime.
Primes around the 8230th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8227 | 84407 | 6 |
| 8228 | 84421 | 14 |
| 8229 | 84431 | 10 |
| 8230 | 84437 | 6 |
| 8231 | 84443 | 6 |
| 8232 | 84449 | 6 |
| 8233 | 84457 | 8 |
Questions
What is the 8230th prime number?
84437.
Which prime number is 84437?
84437 is the 8230th prime number.
What is the sum of the first 8230 primes?
328,791,201.