What is the 9834th prime number?
The 9834th prime number is 102701. The next prime is 102761 (a gap of 60) and the one before is 102679.
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 9834th one is 102701.
- 2
102701 is prime because no prime up to ā102701 ā 320.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9834th prime is close to 9834 Ć ln(9834) ā 90410, and here it is 102701.
- 4
102701 has no twin: neither 102699 nor 102703 is prime.
Primes around the 9834th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9831 | 102673 | 6 |
| 9832 | 102677 | 4 |
| 9833 | 102679 | 2 |
| 9834 | 102701 | 22 |
| 9835 | 102761 | 60 |
| 9836 | 102763 | 2 |
| 9837 | 102769 | 6 |
Questions
What is the 9834th prime number?
102701.
Which prime number is 102701?
102701 is the 9834th prime number.
What is the sum of the first 9834 primes?
478,935,805.