What is the 9829th prime number?
The 9829th prime number is 102653. The next prime is 102667 (a gap of 14) and the one before is 102647.
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 9829th one is 102653.
- 2
102653 is prime because no prime up to ā102653 ā 320.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9829th prime is close to 9829 Ć ln(9829) ā 90359, and here it is 102653.
- 4
102653 has no twin: neither 102651 nor 102655 is prime.
Primes around the 9829th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9826 | 102611 | 4 |
| 9827 | 102643 | 32 |
| 9828 | 102647 | 4 |
| 9829 | 102653 | 6 |
| 9830 | 102667 | 14 |
| 9831 | 102673 | 6 |
| 9832 | 102677 | 4 |
Questions
What is the 9829th prime number?
102653.
Which prime number is 102653?
102653 is the 9829th prime number.
What is the sum of the first 9829 primes?
478,422,408.