What is the 9937th prime number?
The 9937th prime number is 104033. The next prime is 104047 (a gap of 14) and the one before is 104021.
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 9937th one is 104033.
- 2
104033 is prime because no prime up to ā104033 ā 322.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9937th prime is close to 9937 Ć ln(9937) ā 91460, and here it is 104033.
- 4
104033 has no twin: neither 104031 nor 104035 is prime.
Primes around the 9937th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9934 | 104003 | 6 |
| 9935 | 104009 | 6 |
| 9936 | 104021 | 12 |
| 9937 | 104033 | 12 |
| 9938 | 104047 | 14 |
| 9939 | 104053 | 6 |
| 9940 | 104059 | 6 |
Questions
What is the 9937th prime number?
104033.
Which prime number is 104033?
104033 is the 9937th prime number.
What is the sum of the first 9937 primes?
489,588,128.