What is the 8227th prime number?
The 8227th prime number is 84407. The next prime is 84421 (a gap of 14) and the one before is 84401.
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 8227th one is 84407.
- 2
84407 is prime because no prime up to ā84407 ā 290.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8227th prime is close to 8227 Ć ln(8227) ā 74168, and here it is 84407.
- 4
84407 has no twin: neither 84405 nor 84409 is prime.
Primes around the 8227th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8224 | 84389 | 12 |
| 8225 | 84391 | 2 |
| 8226 | 84401 | 10 |
| 8227 | 84407 | 6 |
| 8228 | 84421 | 14 |
| 8229 | 84431 | 10 |
| 8230 | 84437 | 6 |
Questions
What is the 8227th prime number?
84407.
Which prime number is 84407?
84407 is the 8227th prime number.
What is the sum of the first 8227 primes?
328,537,912.