What is the 8352nd prime number?
The 8352nd prime number is 85837. The next prime is 85843 (a gap of 6) and the one before is 85831.
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 8352nd one is 85837.
- 2
85837 is prime because no prime up to ā85837 ā 292.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8352nd prime is close to 8352 Ć ln(8352) ā 75421, and here it is 85837.
- 4
85837 has no twin: neither 85835 nor 85839 is prime.
Primes around the 8352nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8349 | 85819 | 2 |
| 8350 | 85829 | 10 |
| 8351 | 85831 | 2 |
| 8352 | 85837 | 6 |
| 8353 | 85843 | 6 |
| 8354 | 85847 | 4 |
| 8355 | 85853 | 6 |
Questions
What is the 8352nd prime number?
85837.
Which prime number is 85837?
85837 is the 8352nd prime number.
What is the sum of the first 8352 primes?
339,178,661.