What is the 9929th prime number?
The 9929th prime number is 103979. The next prime is 103981 (a gap of 2) and the one before is 103969.
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 9929th one is 103979.
- 2
103979 is prime because no prime up to ā103979 ā 322.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9929th prime is close to 9929 Ć ln(9929) ā 91379, and here it is 103979.
- 4
103979 is a twin prime: 103979 and 103981 are both prime.
Primes around the 9929th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9926 | 103963 | 12 |
| 9927 | 103967 | 4 |
| 9928 | 103969 | 2 |
| 9929 | 103979 | 10 |
| 9930 | 103981 | 2 |
| 9931 | 103991 | 10 |
| 9932 | 103993 | 2 |
Questions
What is the 9929th prime number?
103979.
Which prime number is 103979?
103979 is the 9929th prime number.
What is the sum of the first 9929 primes?
488,756,100.