What is the 9930th prime number?
The 9930th prime number is 103981. The next prime is 103991 (a gap of 10) and the one before is 103979.
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 9930th one is 103981.
- 2
103981 is prime because no prime up to ā103981 ā 322.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9930th prime is close to 9930 Ć ln(9930) ā 91389, and here it is 103981.
- 4
103981 is a twin prime: 103979 and 103981 are both prime.
Primes around the 9930th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9927 | 103967 | 4 |
| 9928 | 103969 | 2 |
| 9929 | 103979 | 10 |
| 9930 | 103981 | 2 |
| 9931 | 103991 | 10 |
| 9932 | 103993 | 2 |
| 9933 | 103997 | 4 |
Questions
What is the 9930th prime number?
103981.
Which prime number is 103981?
103981 is the 9930th prime number.
What is the sum of the first 9930 primes?
488,860,081.