What is the 9934th prime number?
The 9934th prime number is 104003. The next prime is 104009 (a gap of 6) and the one before is 103997.
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 9934th one is 104003.
- 2
104003 is prime because no prime up to ā104003 ā 322.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9934th prime is close to 9934 Ć ln(9934) ā 91430, and here it is 104003.
- 4
104003 has no twin: neither 104001 nor 104005 is prime.
Primes around the 9934th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9931 | 103991 | 10 |
| 9932 | 103993 | 2 |
| 9933 | 103997 | 4 |
| 9934 | 104003 | 6 |
| 9935 | 104009 | 6 |
| 9936 | 104021 | 12 |
| 9937 | 104033 | 12 |
Questions
What is the 9934th prime number?
104003.
Which prime number is 104003?
104003 is the 9934th prime number.
What is the sum of the first 9934 primes?
489,276,065.