What is the 8266th prime number?
The 8266th prime number is 84857. The next prime is 84859 (a gap of 2) and the one before is 84827.
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 8266th one is 84857.
- 2
84857 is prime because no prime up to ā84857 ā 291.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8266th prime is close to 8266 Ć ln(8266) ā 74559, and here it is 84857.
- 4
84857 is a twin prime: 84857 and 84859 are both prime.
Primes around the 8266th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8263 | 84809 | 16 |
| 8264 | 84811 | 2 |
| 8265 | 84827 | 16 |
| 8266 | 84857 | 30 |
| 8267 | 84859 | 2 |
| 8268 | 84869 | 10 |
| 8269 | 84871 | 2 |
Questions
What is the 8266th prime number?
84857.
Which prime number is 84857?
84857 is the 8266th prime number.
What is the sum of the first 8266 primes?
331,838,027.