What is the 9947th prime number?
The 9947th prime number is 104147. The next prime is 104149 (a gap of 2) and the one before is 104123.
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 9947th one is 104147.
- 2
104147 is prime because no prime up to ā104147 ā 322.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9947th prime is close to 9947 Ć ln(9947) ā 91562, and here it is 104147.
- 4
104147 is a twin prime: 104147 and 104149 are both prime.
Primes around the 9947th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9944 | 104113 | 6 |
| 9945 | 104119 | 6 |
| 9946 | 104123 | 4 |
| 9947 | 104147 | 24 |
| 9948 | 104149 | 2 |
| 9949 | 104161 | 12 |
| 9950 | 104173 | 12 |
Questions
What is the 9947th prime number?
104147.
Which prime number is 104147?
104147 is the 9947th prime number.
What is the sum of the first 9947 primes?
490,629,072.