What is the 9932nd prime number?
The 9932nd prime number is 103993. The next prime is 103997 (a gap of 4) and the one before is 103991.
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 9932nd one is 103993.
- 2
103993 is prime because no prime up to ā103993 ā 322.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9932nd prime is close to 9932 Ć ln(9932) ā 91409, and here it is 103993.
- 4
103993 is a twin prime: 103991 and 103993 are both prime.
Primes around the 9932nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9929 | 103979 | 10 |
| 9930 | 103981 | 2 |
| 9931 | 103991 | 10 |
| 9932 | 103993 | 2 |
| 9933 | 103997 | 4 |
| 9934 | 104003 | 6 |
| 9935 | 104009 | 6 |
Questions
What is the 9932nd prime number?
103993.
Which prime number is 103993?
103993 is the 9932nd prime number.
What is the sum of the first 9932 primes?
489,068,065.