What is the 8204th prime number?
The 8204th prime number is 84163. The next prime is 84179 (a gap of 16) and the one before is 84143.
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 8204th one is 84163.
- 2
84163 is prime because no prime up to ā84163 ā 290.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8204th prime is close to 8204 Ć ln(8204) ā 73938, and here it is 84163.
- 4
84163 has no twin: neither 84161 nor 84165 is prime.
Primes around the 8204th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8201 | 84131 | 4 |
| 8202 | 84137 | 6 |
| 8203 | 84143 | 6 |
| 8204 | 84163 | 20 |
| 8205 | 84179 | 16 |
| 8206 | 84181 | 2 |
| 8207 | 84191 | 10 |
Questions
What is the 8204th prime number?
84163.
Which prime number is 84163?
84163 is the 8204th prime number.
What is the sum of the first 8204 primes?
326,599,313.