What is the 8399th prime number?
The 8399th prime number is 86369. The next prime is 86371 (a gap of 2) and the one before is 86357.
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 8399th one is 86369.
- 2
86369 is prime because no prime up to ā86369 ā 293.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8399th prime is close to 8399 Ć ln(8399) ā 75892, and here it is 86369.
- 4
86369 is a twin prime: 86369 and 86371 are both prime.
Primes around the 8399th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8396 | 86351 | 10 |
| 8397 | 86353 | 2 |
| 8398 | 86357 | 4 |
| 8399 | 86369 | 12 |
| 8400 | 86371 | 2 |
| 8401 | 86381 | 10 |
| 8402 | 86389 | 8 |
Questions
What is the 8399th prime number?
86369.
Which prime number is 86369?
86369 is the 8399th prime number.
What is the sum of the first 8399 primes?
343,227,218.