What is the 9917th prime number?
The 9917th prime number is 103837. The next prime is 103841 (a gap of 4) and the one before is 103813.
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 9917th one is 103837.
- 2
103837 is prime because no prime up to ā103837 ā 322.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9917th prime is close to 9917 Ć ln(9917) ā 91256, and here it is 103837.
- 4
103837 has no twin: neither 103835 nor 103839 is prime.
Primes around the 9917th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9914 | 103801 | 14 |
| 9915 | 103811 | 10 |
| 9916 | 103813 | 2 |
| 9917 | 103837 | 24 |
| 9918 | 103841 | 4 |
| 9919 | 103843 | 2 |
| 9920 | 103867 | 24 |
Questions
What is the 9917th prime number?
103837.
Which prime number is 103837?
103837 is the 9917th prime number.
What is the sum of the first 9917 primes?
487,509,096.