What is the 8349th prime number?
The 8349th prime number is 85819. The next prime is 85829 (a gap of 10) and the one before is 85817.
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 8349th one is 85819.
- 2
85819 is prime because no prime up to ā85819 ā 292.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8349th prime is close to 8349 Ć ln(8349) ā 75391, and here it is 85819.
- 4
85819 is a twin prime: 85817 and 85819 are both prime.
Primes around the 8349th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8346 | 85781 | 30 |
| 8347 | 85793 | 12 |
| 8348 | 85817 | 24 |
| 8349 | 85819 | 2 |
| 8350 | 85829 | 10 |
| 8351 | 85831 | 2 |
| 8352 | 85837 | 6 |
Questions
What is the 8349th prime number?
85819.
Which prime number is 85819?
85819 is the 8349th prime number.
What is the sum of the first 8349 primes?
338,921,164.