What is the 8213th prime number?
The 8213th prime number is 84239. The next prime is 84247 (a gap of 8) and the one before is 84229.
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 8213th one is 84239.
- 2
84239 is prime because no prime up to ā84239 ā 290.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8213th prime is close to 8213 Ć ln(8213) ā 74028, and here it is 84239.
- 4
84239 has no twin: neither 84237 nor 84241 is prime.
Primes around the 8213th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8210 | 84221 | 10 |
| 8211 | 84223 | 2 |
| 8212 | 84229 | 6 |
| 8213 | 84239 | 10 |
| 8214 | 84247 | 8 |
| 8215 | 84263 | 16 |
| 8216 | 84299 | 36 |
Questions
What is the 8213th prime number?
84239.
Which prime number is 84239?
84239 is the 8213th prime number.
What is the sum of the first 8213 primes?
327,357,186.