What is the 8264th prime number?
The 8264th prime number is 84811. The next prime is 84827 (a gap of 16) and the one before is 84809.
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 8264th one is 84811.
- 2
84811 is prime because no prime up to ā84811 ā 291.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8264th prime is close to 8264 Ć ln(8264) ā 74539, and here it is 84811.
- 4
84811 is a twin prime: 84809 and 84811 are both prime.
Primes around the 8264th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8261 | 84787 | 26 |
| 8262 | 84793 | 6 |
| 8263 | 84809 | 16 |
| 8264 | 84811 | 2 |
| 8265 | 84827 | 16 |
| 8266 | 84857 | 30 |
| 8267 | 84859 | 2 |
Questions
What is the 8264th prime number?
84811.
Which prime number is 84811?
84811 is the 8264th prime number.
What is the sum of the first 8264 primes?
331,668,343.