What is the 9827th prime number?
The 9827th prime number is 102643. The next prime is 102647 (a gap of 4) and the one before is 102611.
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 9827th one is 102643.
- 2
102643 is prime because no prime up to ā102643 ā 320.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9827th prime is close to 9827 Ć ln(9827) ā 90339, and here it is 102643.
- 4
102643 has no twin: neither 102641 nor 102645 is prime.
Primes around the 9827th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9824 | 102593 | 6 |
| 9825 | 102607 | 14 |
| 9826 | 102611 | 4 |
| 9827 | 102643 | 32 |
| 9828 | 102647 | 4 |
| 9829 | 102653 | 6 |
| 9830 | 102667 | 14 |
Questions
What is the 9827th prime number?
102643.
Which prime number is 102643?
102643 is the 9827th prime number.
What is the sum of the first 9827 primes?
478,217,108.