What is the 8216th prime number?
The 8216th prime number is 84299. The next prime is 84307 (a gap of 8) and the one before is 84263.
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 8216th one is 84299.
- 2
84299 is prime because no prime up to ā84299 ā 290.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8216th prime is close to 8216 Ć ln(8216) ā 74058, and here it is 84299.
- 4
84299 has no twin: neither 84297 nor 84301 is prime.
Primes around the 8216th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8213 | 84239 | 10 |
| 8214 | 84247 | 8 |
| 8215 | 84263 | 16 |
| 8216 | 84299 | 36 |
| 8217 | 84307 | 8 |
| 8218 | 84313 | 6 |
| 8219 | 84317 | 4 |
Questions
What is the 8216th prime number?
84299.
Which prime number is 84299?
84299 is the 8216th prime number.
What is the sum of the first 8216 primes?
327,609,995.