What is the 9948th prime number?
The 9948th prime number is 104149. The next prime is 104161 (a gap of 12) and the one before is 104147.
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 9948th one is 104149.
- 2
104149 is prime because no prime up to ā104149 ā 322.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9948th prime is close to 9948 Ć ln(9948) ā 91573, and here it is 104149.
- 4
104149 is a twin prime: 104147 and 104149 are both prime.
Primes around the 9948th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9945 | 104119 | 6 |
| 9946 | 104123 | 4 |
| 9947 | 104147 | 24 |
| 9948 | 104149 | 2 |
| 9949 | 104161 | 12 |
| 9950 | 104173 | 12 |
| 9951 | 104179 | 6 |
Questions
What is the 9948th prime number?
104149.
Which prime number is 104149?
104149 is the 9948th prime number.
What is the sum of the first 9948 primes?
490,733,221.