What is the 8212th prime number?
The 8212th prime number is 84229. The next prime is 84239 (a gap of 10) and the one before is 84223.
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 8212th one is 84229.
- 2
84229 is prime because no prime up to ā84229 ā 290.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8212th prime is close to 8212 Ć ln(8212) ā 74018, and here it is 84229.
- 4
84229 has no twin: neither 84227 nor 84231 is prime.
Primes around the 8212th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8209 | 84211 | 12 |
| 8210 | 84221 | 10 |
| 8211 | 84223 | 2 |
| 8212 | 84229 | 6 |
| 8213 | 84239 | 10 |
| 8214 | 84247 | 8 |
| 8215 | 84263 | 16 |
Questions
What is the 8212th prime number?
84229.
Which prime number is 84229?
84229 is the 8212th prime number.
What is the sum of the first 8212 primes?
327,272,947.