What is the 9918th prime number?
The 9918th prime number is 103841. The next prime is 103843 (a gap of 2) and the one before is 103837.
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 9918th one is 103841.
- 2
103841 is prime because no prime up to ā103841 ā 322.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9918th prime is close to 9918 Ć ln(9918) ā 91266, and here it is 103841.
- 4
103841 is a twin prime: 103841 and 103843 are both prime.
Primes around the 9918th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9915 | 103811 | 10 |
| 9916 | 103813 | 2 |
| 9917 | 103837 | 24 |
| 9918 | 103841 | 4 |
| 9919 | 103843 | 2 |
| 9920 | 103867 | 24 |
| 9921 | 103889 | 22 |
Questions
What is the 9918th prime number?
103841.
Which prime number is 103841?
103841 is the 9918th prime number.
What is the sum of the first 9918 primes?
487,612,937.