What is the 8218th prime number?
The 8218th prime number is 84313. The next prime is 84317 (a gap of 4) and the one before is 84307.
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 8218th one is 84313.
- 2
84313 is prime because no prime up to ā84313 ā 290.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8218th prime is close to 8218 Ć ln(8218) ā 74078, and here it is 84313.
- 4
84313 has no twin: neither 84311 nor 84315 is prime.
Primes around the 8218th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8215 | 84263 | 16 |
| 8216 | 84299 | 36 |
| 8217 | 84307 | 8 |
| 8218 | 84313 | 6 |
| 8219 | 84317 | 4 |
| 8220 | 84319 | 2 |
| 8221 | 84347 | 28 |
Questions
What is the 8218th prime number?
84313.
Which prime number is 84313?
84313 is the 8218th prime number.
What is the sum of the first 8218 primes?
327,778,615.