What is the 8215th prime number?
The 8215th prime number is 84263. The next prime is 84299 (a gap of 36) and the one before is 84247.
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 8215th one is 84263.
- 2
84263 is prime because no prime up to ā84263 ā 290.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8215th prime is close to 8215 Ć ln(8215) ā 74048, and here it is 84263.
- 4
84263 has no twin: neither 84261 nor 84265 is prime.
Primes around the 8215th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8212 | 84229 | 6 |
| 8213 | 84239 | 10 |
| 8214 | 84247 | 8 |
| 8215 | 84263 | 16 |
| 8216 | 84299 | 36 |
| 8217 | 84307 | 8 |
| 8218 | 84313 | 6 |
Questions
What is the 8215th prime number?
84263.
Which prime number is 84263?
84263 is the 8215th prime number.
What is the sum of the first 8215 primes?
327,525,696.