What is the 9832nd prime number?
The 9832nd prime number is 102677. The next prime is 102679 (a gap of 2) and the one before is 102673.
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 9832nd one is 102677.
- 2
102677 is prime because no prime up to ā102677 ā 320.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9832nd prime is close to 9832 Ć ln(9832) ā 90389, and here it is 102677.
- 4
102677 is a twin prime: 102677 and 102679 are both prime.
Primes around the 9832nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9829 | 102653 | 6 |
| 9830 | 102667 | 14 |
| 9831 | 102673 | 6 |
| 9832 | 102677 | 4 |
| 9833 | 102679 | 2 |
| 9834 | 102701 | 22 |
| 9835 | 102761 | 60 |
Questions
What is the 9832nd prime number?
102677.
Which prime number is 102677?
102677 is the 9832nd prime number.
What is the sum of the first 9832 primes?
478,730,425.