What is the 8394th prime number?
The 8394th prime number is 86323. The next prime is 86341 (a gap of 18) and the one before is 86311.
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 8394th one is 86323.
- 2
86323 is prime because no prime up to ā86323 ā 293.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8394th prime is close to 8394 Ć ln(8394) ā 75842, and here it is 86323.
- 4
86323 has no twin: neither 86321 nor 86325 is prime.
Primes around the 8394th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8391 | 86293 | 2 |
| 8392 | 86297 | 4 |
| 8393 | 86311 | 14 |
| 8394 | 86323 | 12 |
| 8395 | 86341 | 18 |
| 8396 | 86351 | 10 |
| 8397 | 86353 | 2 |
Questions
What is the 8394th prime number?
86323.
Which prime number is 86323?
86323 is the 8394th prime number.
What is the sum of the first 8394 primes?
342,795,447.