What is the 9936th prime number?
The 9936th prime number is 104021. The next prime is 104033 (a gap of 12) and the one before is 104009.
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 9936th one is 104021.
- 2
104021 is prime because no prime up to ā104021 ā 322.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9936th prime is close to 9936 Ć ln(9936) ā 91450, and here it is 104021.
- 4
104021 has no twin: neither 104019 nor 104023 is prime.
Primes around the 9936th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9933 | 103997 | 4 |
| 9934 | 104003 | 6 |
| 9935 | 104009 | 6 |
| 9936 | 104021 | 12 |
| 9937 | 104033 | 12 |
| 9938 | 104047 | 14 |
| 9939 | 104053 | 6 |
Questions
What is the 9936th prime number?
104021.
Which prime number is 104021?
104021 is the 9936th prime number.
What is the sum of the first 9936 primes?
489,484,095.