What is the 8214th prime number?
The 8214th prime number is 84247. The next prime is 84263 (a gap of 16) and the one before is 84239.
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 8214th one is 84247.
- 2
84247 is prime because no prime up to ā84247 ā 290.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8214th prime is close to 8214 Ć ln(8214) ā 74038, and here it is 84247.
- 4
84247 has no twin: neither 84245 nor 84249 is prime.
Primes around the 8214th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8211 | 84223 | 2 |
| 8212 | 84229 | 6 |
| 8213 | 84239 | 10 |
| 8214 | 84247 | 8 |
| 8215 | 84263 | 16 |
| 8216 | 84299 | 36 |
| 8217 | 84307 | 8 |
Questions
What is the 8214th prime number?
84247.
Which prime number is 84247?
84247 is the 8214th prime number.
What is the sum of the first 8214 primes?
327,441,433.