What is the 8353rd prime number?
The 8353rd prime number is 85843. The next prime is 85847 (a gap of 4) and the one before is 85837.
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 8353rd one is 85843.
- 2
85843 is prime because no prime up to ā85843 ā 292.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8353rd prime is close to 8353 Ć ln(8353) ā 75431, and here it is 85843.
- 4
85843 has no twin: neither 85841 nor 85845 is prime.
Primes around the 8353rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8350 | 85829 | 10 |
| 8351 | 85831 | 2 |
| 8352 | 85837 | 6 |
| 8353 | 85843 | 6 |
| 8354 | 85847 | 4 |
| 8355 | 85853 | 6 |
| 8356 | 85889 | 36 |
Questions
What is the 8353rd prime number?
85843.
Which prime number is 85843?
85843 is the 8353rd prime number.
What is the sum of the first 8353 primes?
339,264,504.