What is the 8395th prime number?
The 8395th prime number is 86341. The next prime is 86351 (a gap of 10) and the one before is 86323.
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 8395th one is 86341.
- 2
86341 is prime because no prime up to ā86341 ā 293.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8395th prime is close to 8395 Ć ln(8395) ā 75852, and here it is 86341.
- 4
86341 has no twin: neither 86339 nor 86343 is prime.
Primes around the 8395th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8392 | 86297 | 4 |
| 8393 | 86311 | 14 |
| 8394 | 86323 | 12 |
| 8395 | 86341 | 18 |
| 8396 | 86351 | 10 |
| 8397 | 86353 | 2 |
| 8398 | 86357 | 4 |
Questions
What is the 8395th prime number?
86341.
Which prime number is 86341?
86341 is the 8395th prime number.
What is the sum of the first 8395 primes?
342,881,788.