What is the 8209th prime number?
The 8209th prime number is 84211. The next prime is 84221 (a gap of 10) and the one before is 84199.
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 8209th one is 84211.
- 2
84211 is prime because no prime up to ā84211 ā 290.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8209th prime is close to 8209 Ć ln(8209) ā 73988, and here it is 84211.
- 4
84211 has no twin: neither 84209 nor 84213 is prime.
Primes around the 8209th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8206 | 84181 | 2 |
| 8207 | 84191 | 10 |
| 8208 | 84199 | 8 |
| 8209 | 84211 | 12 |
| 8210 | 84221 | 10 |
| 8211 | 84223 | 2 |
| 8212 | 84229 | 6 |
Questions
What is the 8209th prime number?
84211.
Which prime number is 84211?
84211 is the 8209th prime number.
What is the sum of the first 8209 primes?
327,020,274.