What is the 9833rd prime number?
The 9833rd prime number is 102679. The next prime is 102701 (a gap of 22) and the one before is 102677.
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 9833rd one is 102679.
- 2
102679 is prime because no prime up to ā102679 ā 320.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9833rd prime is close to 9833 Ć ln(9833) ā 90400, and here it is 102679.
- 4
102679 is a twin prime: 102677 and 102679 are both prime.
Primes around the 9833rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9830 | 102667 | 14 |
| 9831 | 102673 | 6 |
| 9832 | 102677 | 4 |
| 9833 | 102679 | 2 |
| 9834 | 102701 | 22 |
| 9835 | 102761 | 60 |
| 9836 | 102763 | 2 |
Questions
What is the 9833rd prime number?
102679.
Which prime number is 102679?
102679 is the 9833rd prime number.
What is the sum of the first 9833 primes?
478,833,104.