What is the 9924th prime number?
The 9924th prime number is 103919. The next prime is 103951 (a gap of 32) and the one before is 103913.
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 9924th one is 103919.
- 2
103919 is prime because no prime up to ā103919 ā 322.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9924th prime is close to 9924 Ć ln(9924) ā 91328, and here it is 103919.
- 4
103919 has no twin: neither 103917 nor 103921 is prime.
Primes around the 9924th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9921 | 103889 | 22 |
| 9922 | 103903 | 14 |
| 9923 | 103913 | 10 |
| 9924 | 103919 | 6 |
| 9925 | 103951 | 32 |
| 9926 | 103963 | 12 |
| 9927 | 103967 | 4 |
Questions
What is the 9924th prime number?
103919.
Which prime number is 103919?
103919 is the 9924th prime number.
What is the sum of the first 9924 primes?
488,236,271.