What is the 8205th prime number?
The 8205th prime number is 84179. The next prime is 84181 (a gap of 2) and the one before is 84163.
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 8205th one is 84179.
- 2
84179 is prime because no prime up to ā84179 ā 290.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8205th prime is close to 8205 Ć ln(8205) ā 73948, and here it is 84179.
- 4
84179 is a twin prime: 84179 and 84181 are both prime.
Primes around the 8205th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8202 | 84137 | 6 |
| 8203 | 84143 | 6 |
| 8204 | 84163 | 20 |
| 8205 | 84179 | 16 |
| 8206 | 84181 | 2 |
| 8207 | 84191 | 10 |
| 8208 | 84199 | 8 |
Questions
What is the 8205th prime number?
84179.
Which prime number is 84179?
84179 is the 8205th prime number.
What is the sum of the first 8205 primes?
326,683,492.