What is the 8228th prime number?
The 8228th prime number is 84421. The next prime is 84431 (a gap of 10) and the one before is 84407.
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 8228th one is 84421.
- 2
84421 is prime because no prime up to ā84421 ā 290.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8228th prime is close to 8228 Ć ln(8228) ā 74178, and here it is 84421.
- 4
84421 has no twin: neither 84419 nor 84423 is prime.
Primes around the 8228th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8225 | 84391 | 2 |
| 8226 | 84401 | 10 |
| 8227 | 84407 | 6 |
| 8228 | 84421 | 14 |
| 8229 | 84431 | 10 |
| 8230 | 84437 | 6 |
| 8231 | 84443 | 6 |
Questions
What is the 8228th prime number?
84421.
Which prime number is 84421?
84421 is the 8228th prime number.
What is the sum of the first 8228 primes?
328,622,333.