What is the 9916th prime number?
The 9916th prime number is 103813. The next prime is 103837 (a gap of 24) and the one before is 103811.
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 9916th one is 103813.
- 2
103813 is prime because no prime up to ā103813 ā 322.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9916th prime is close to 9916 Ć ln(9916) ā 91246, and here it is 103813.
- 4
103813 is a twin prime: 103811 and 103813 are both prime.
Primes around the 9916th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9913 | 103787 | 18 |
| 9914 | 103801 | 14 |
| 9915 | 103811 | 10 |
| 9916 | 103813 | 2 |
| 9917 | 103837 | 24 |
| 9918 | 103841 | 4 |
| 9919 | 103843 | 2 |
Questions
What is the 9916th prime number?
103813.
Which prime number is 103813?
103813 is the 9916th prime number.
What is the sum of the first 9916 primes?
487,405,259.