What is the 8396th prime number?
The 8396th prime number is 86351. The next prime is 86353 (a gap of 2) and the one before is 86341.
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 8396th one is 86351.
- 2
86351 is prime because no prime up to ā86351 ā 293.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8396th prime is close to 8396 Ć ln(8396) ā 75862, and here it is 86351.
- 4
86351 is a twin prime: 86351 and 86353 are both prime.
Primes around the 8396th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8393 | 86311 | 14 |
| 8394 | 86323 | 12 |
| 8395 | 86341 | 18 |
| 8396 | 86351 | 10 |
| 8397 | 86353 | 2 |
| 8398 | 86357 | 4 |
| 8399 | 86369 | 12 |
Questions
What is the 8396th prime number?
86351.
Which prime number is 86351?
86351 is the 8396th prime number.
What is the sum of the first 8396 primes?
342,968,139.