What is the 9926th prime number?
The 9926th prime number is 103963. The next prime is 103967 (a gap of 4) and the one before is 103951.
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 9926th one is 103963.
- 2
103963 is prime because no prime up to ā103963 ā 322.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9926th prime is close to 9926 Ć ln(9926) ā 91348, and here it is 103963.
- 4
103963 has no twin: neither 103961 nor 103965 is prime.
Primes around the 9926th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9923 | 103913 | 10 |
| 9924 | 103919 | 6 |
| 9925 | 103951 | 32 |
| 9926 | 103963 | 12 |
| 9927 | 103967 | 4 |
| 9928 | 103969 | 2 |
| 9929 | 103979 | 10 |
Questions
What is the 9926th prime number?
103963.
Which prime number is 103963?
103963 is the 9926th prime number.
What is the sum of the first 9926 primes?
488,444,185.