What is the 9831st prime number?
The 9831st prime number is 102673. The next prime is 102677 (a gap of 4) and the one before is 102667.
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 9831st one is 102673.
- 2
102673 is prime because no prime up to ā102673 ā 320.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9831st prime is close to 9831 Ć ln(9831) ā 90379, and here it is 102673.
- 4
102673 has no twin: neither 102671 nor 102675 is prime.
Primes around the 9831st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9828 | 102647 | 4 |
| 9829 | 102653 | 6 |
| 9830 | 102667 | 14 |
| 9831 | 102673 | 6 |
| 9832 | 102677 | 4 |
| 9833 | 102679 | 2 |
| 9834 | 102701 | 22 |
Questions
What is the 9831st prime number?
102673.
Which prime number is 102673?
102673 is the 9831st prime number.
What is the sum of the first 9831 primes?
478,627,748.