What is the 9935th prime number?
The 9935th prime number is 104009. The next prime is 104021 (a gap of 12) and the one before is 104003.
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 9935th one is 104009.
- 2
104009 is prime because no prime up to ā104009 ā 322.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9935th prime is close to 9935 Ć ln(9935) ā 91440, and here it is 104009.
- 4
104009 has no twin: neither 104007 nor 104011 is prime.
Primes around the 9935th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9932 | 103993 | 2 |
| 9933 | 103997 | 4 |
| 9934 | 104003 | 6 |
| 9935 | 104009 | 6 |
| 9936 | 104021 | 12 |
| 9937 | 104033 | 12 |
| 9938 | 104047 | 14 |
Questions
What is the 9935th prime number?
104009.
Which prime number is 104009?
104009 is the 9935th prime number.
What is the sum of the first 9935 primes?
489,380,074.