What is the 8389th prime number?
The 8389th prime number is 86287. The next prime is 86291 (a gap of 4) and the one before is 86269.
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 8389th one is 86287.
- 2
86287 is prime because no prime up to ā86287 ā 293.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8389th prime is close to 8389 Ć ln(8389) ā 75792, and here it is 86287.
- 4
86287 has no twin: neither 86285 nor 86289 is prime.
Primes around the 8389th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8386 | 86257 | 8 |
| 8387 | 86263 | 6 |
| 8388 | 86269 | 6 |
| 8389 | 86287 | 18 |
| 8390 | 86291 | 4 |
| 8391 | 86293 | 2 |
| 8392 | 86297 | 4 |
Questions
What is the 8389th prime number?
86287.
Which prime number is 86287?
86287 is the 8389th prime number.
What is the sum of the first 8389 primes?
342,363,932.