What is the 8390th prime number?
The 8390th prime number is 86291. The next prime is 86293 (a gap of 2) and the one before is 86287.
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 8390th one is 86291.
- 2
86291 is prime because no prime up to ā86291 ā 293.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8390th prime is close to 8390 Ć ln(8390) ā 75802, and here it is 86291.
- 4
86291 is a twin prime: 86291 and 86293 are both prime.
Primes around the 8390th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8387 | 86263 | 6 |
| 8388 | 86269 | 6 |
| 8389 | 86287 | 18 |
| 8390 | 86291 | 4 |
| 8391 | 86293 | 2 |
| 8392 | 86297 | 4 |
| 8393 | 86311 | 14 |
Questions
What is the 8390th prime number?
86291.
Which prime number is 86291?
86291 is the 8390th prime number.
What is the sum of the first 8390 primes?
342,450,223.