What is the 9933rd prime number?
The 9933rd prime number is 103997. The next prime is 104003 (a gap of 6) and the one before is 103993.
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 9933rd one is 103997.
- 2
103997 is prime because no prime up to ā103997 ā 322.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9933rd prime is close to 9933 Ć ln(9933) ā 91420, and here it is 103997.
- 4
103997 has no twin: neither 103995 nor 103999 is prime.
Primes around the 9933rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9930 | 103981 | 2 |
| 9931 | 103991 | 10 |
| 9932 | 103993 | 2 |
| 9933 | 103997 | 4 |
| 9934 | 104003 | 6 |
| 9935 | 104009 | 6 |
| 9936 | 104021 | 12 |
Questions
What is the 9933rd prime number?
103997.
Which prime number is 103997?
103997 is the 9933rd prime number.
What is the sum of the first 9933 primes?
489,172,062.