What is the 8217th prime number?
The 8217th prime number is 84307. The next prime is 84313 (a gap of 6) and the one before is 84299.
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 8217th one is 84307.
- 2
84307 is prime because no prime up to ā84307 ā 290.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8217th prime is close to 8217 Ć ln(8217) ā 74068, and here it is 84307.
- 4
84307 has no twin: neither 84305 nor 84309 is prime.
Primes around the 8217th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8214 | 84247 | 8 |
| 8215 | 84263 | 16 |
| 8216 | 84299 | 36 |
| 8217 | 84307 | 8 |
| 8218 | 84313 | 6 |
| 8219 | 84317 | 4 |
| 8220 | 84319 | 2 |
Questions
What is the 8217th prime number?
84307.
Which prime number is 84307?
84307 is the 8217th prime number.
What is the sum of the first 8217 primes?
327,694,302.