What is the 8348th prime number?
The 8348th prime number is 85817. The next prime is 85819 (a gap of 2) and the one before is 85793.
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 8348th one is 85817.
- 2
85817 is prime because no prime up to ā85817 ā 292.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8348th prime is close to 8348 Ć ln(8348) ā 75381, and here it is 85817.
- 4
85817 is a twin prime: 85817 and 85819 are both prime.
Primes around the 8348th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8345 | 85751 | 18 |
| 8346 | 85781 | 30 |
| 8347 | 85793 | 12 |
| 8348 | 85817 | 24 |
| 8349 | 85819 | 2 |
| 8350 | 85829 | 10 |
| 8351 | 85831 | 2 |
Questions
What is the 8348th prime number?
85817.
Which prime number is 85817?
85817 is the 8348th prime number.
What is the sum of the first 8348 primes?
338,835,345.