What is the 8393rd prime number?
The 8393rd prime number is 86311. The next prime is 86323 (a gap of 12) and the one before is 86297.
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 8393rd one is 86311.
- 2
86311 is prime because no prime up to ā86311 ā 293.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8393rd prime is close to 8393 Ć ln(8393) ā 75832, and here it is 86311.
- 4
86311 has no twin: neither 86309 nor 86313 is prime.
Primes around the 8393rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8390 | 86291 | 4 |
| 8391 | 86293 | 2 |
| 8392 | 86297 | 4 |
| 8393 | 86311 | 14 |
| 8394 | 86323 | 12 |
| 8395 | 86341 | 18 |
| 8396 | 86351 | 10 |
Questions
What is the 8393rd prime number?
86311.
Which prime number is 86311?
86311 is the 8393rd prime number.
What is the sum of the first 8393 primes?
342,709,124.