What is the 9830th prime number?
The 9830th prime number is 102667. The next prime is 102673 (a gap of 6) and the one before is 102653.
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 9830th one is 102667.
- 2
102667 is prime because no prime up to ā102667 ā 320.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9830th prime is close to 9830 Ć ln(9830) ā 90369, and here it is 102667.
- 4
102667 has no twin: neither 102665 nor 102669 is prime.
Primes around the 9830th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9827 | 102643 | 32 |
| 9828 | 102647 | 4 |
| 9829 | 102653 | 6 |
| 9830 | 102667 | 14 |
| 9831 | 102673 | 6 |
| 9832 | 102677 | 4 |
| 9833 | 102679 | 2 |
Questions
What is the 9830th prime number?
102667.
Which prime number is 102667?
102667 is the 9830th prime number.
What is the sum of the first 9830 primes?
478,525,075.