What is the 9828th prime number?
The 9828th prime number is 102647. The next prime is 102653 (a gap of 6) and the one before is 102643.
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 9828th one is 102647.
- 2
102647 is prime because no prime up to ā102647 ā 320.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9828th prime is close to 9828 Ć ln(9828) ā 90349, and here it is 102647.
- 4
102647 has no twin: neither 102645 nor 102649 is prime.
Primes around the 9828th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9825 | 102607 | 14 |
| 9826 | 102611 | 4 |
| 9827 | 102643 | 32 |
| 9828 | 102647 | 4 |
| 9829 | 102653 | 6 |
| 9830 | 102667 | 14 |
| 9831 | 102673 | 6 |
Questions
What is the 9828th prime number?
102647.
Which prime number is 102647?
102647 is the 9828th prime number.
What is the sum of the first 9828 primes?
478,319,755.