What is the 8206th prime number?
The 8206th prime number is 84181. The next prime is 84191 (a gap of 10) and the one before is 84179.
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 8206th one is 84181.
- 2
84181 is prime because no prime up to ā84181 ā 290.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8206th prime is close to 8206 Ć ln(8206) ā 73958, and here it is 84181.
- 4
84181 is a twin prime: 84179 and 84181 are both prime.
Primes around the 8206th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8203 | 84143 | 6 |
| 8204 | 84163 | 20 |
| 8205 | 84179 | 16 |
| 8206 | 84181 | 2 |
| 8207 | 84191 | 10 |
| 8208 | 84199 | 8 |
| 8209 | 84211 | 12 |
Questions
What is the 8206th prime number?
84181.
Which prime number is 84181?
84181 is the 8206th prime number.
What is the sum of the first 8206 primes?
326,767,673.