What is the 8199th prime number?
The 8199th prime number is 84121. The next prime is 84127 (a gap of 6) and the one before is 84089.
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 8199th one is 84121.
- 2
84121 is prime because no prime up to ā84121 ā 290.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8199th prime is close to 8199 Ć ln(8199) ā 73887, and here it is 84121.
- 4
84121 has no twin: neither 84119 nor 84123 is prime.
Primes around the 8199th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8196 | 84061 | 2 |
| 8197 | 84067 | 6 |
| 8198 | 84089 | 22 |
| 8199 | 84121 | 32 |
| 8200 | 84127 | 6 |
| 8201 | 84131 | 4 |
| 8202 | 84137 | 6 |
Questions
What is the 8199th prime number?
84121.
Which prime number is 84121?
84121 is the 8199th prime number.
What is the sum of the first 8199 primes?
326,178,612.