What is the 9919th prime number?
The 9919th prime number is 103843. The next prime is 103867 (a gap of 24) and the one before is 103841.
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 9919th one is 103843.
- 2
103843 is prime because no prime up to ā103843 ā 322.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9919th prime is close to 9919 Ć ln(9919) ā 91277, and here it is 103843.
- 4
103843 is a twin prime: 103841 and 103843 are both prime.
Primes around the 9919th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9916 | 103813 | 2 |
| 9917 | 103837 | 24 |
| 9918 | 103841 | 4 |
| 9919 | 103843 | 2 |
| 9920 | 103867 | 24 |
| 9921 | 103889 | 22 |
| 9922 | 103903 | 14 |
Questions
What is the 9919th prime number?
103843.
Which prime number is 103843?
103843 is the 9919th prime number.
What is the sum of the first 9919 primes?
487,716,780.