What is the 9923rd prime number?
The 9923rd prime number is 103913. The next prime is 103919 (a gap of 6) and the one before is 103903.
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 9923rd one is 103913.
- 2
103913 is prime because no prime up to ā103913 ā 322.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9923rd prime is close to 9923 Ć ln(9923) ā 91318, and here it is 103913.
- 4
103913 has no twin: neither 103911 nor 103915 is prime.
Primes around the 9923rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9920 | 103867 | 24 |
| 9921 | 103889 | 22 |
| 9922 | 103903 | 14 |
| 9923 | 103913 | 10 |
| 9924 | 103919 | 6 |
| 9925 | 103951 | 32 |
| 9926 | 103963 | 12 |
Questions
What is the 9923rd prime number?
103913.
Which prime number is 103913?
103913 is the 9923rd prime number.
What is the sum of the first 9923 primes?
488,132,352.