What is the 9928th prime number?
The 9928th prime number is 103969. The next prime is 103979 (a gap of 10) and the one before is 103967.
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 9928th one is 103969.
- 2
103969 is prime because no prime up to ā103969 ā 322.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9928th prime is close to 9928 Ć ln(9928) ā 91369, and here it is 103969.
- 4
103969 is a twin prime: 103967 and 103969 are both prime.
Primes around the 9928th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9925 | 103951 | 32 |
| 9926 | 103963 | 12 |
| 9927 | 103967 | 4 |
| 9928 | 103969 | 2 |
| 9929 | 103979 | 10 |
| 9930 | 103981 | 2 |
| 9931 | 103991 | 10 |
Questions
What is the 9928th prime number?
103969.
Which prime number is 103969?
103969 is the 9928th prime number.
What is the sum of the first 9928 primes?
488,652,121.