What is the 9938th prime number?
The 9938th prime number is 104047. The next prime is 104053 (a gap of 6) and the one before is 104033.
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 9938th one is 104047.
- 2
104047 is prime because no prime up to ā104047 ā 322.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9938th prime is close to 9938 Ć ln(9938) ā 91471, and here it is 104047.
- 4
104047 has no twin: neither 104045 nor 104049 is prime.
Primes around the 9938th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9935 | 104009 | 6 |
| 9936 | 104021 | 12 |
| 9937 | 104033 | 12 |
| 9938 | 104047 | 14 |
| 9939 | 104053 | 6 |
| 9940 | 104059 | 6 |
| 9941 | 104087 | 28 |
Questions
What is the 9938th prime number?
104047.
Which prime number is 104047?
104047 is the 9938th prime number.
What is the sum of the first 9938 primes?
489,692,175.