What is the 9949th prime number?
The 9949th prime number is 104161. The next prime is 104173 (a gap of 12) and the one before is 104149.
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 9949th one is 104161.
- 2
104161 is prime because no prime up to ā104161 ā 322.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9949th prime is close to 9949 Ć ln(9949) ā 91583, and here it is 104161.
- 4
104161 has no twin: neither 104159 nor 104163 is prime.
Primes around the 9949th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9946 | 104123 | 4 |
| 9947 | 104147 | 24 |
| 9948 | 104149 | 2 |
| 9949 | 104161 | 12 |
| 9950 | 104173 | 12 |
| 9951 | 104179 | 6 |
| 9952 | 104183 | 4 |
Questions
What is the 9949th prime number?
104161.
Which prime number is 104161?
104161 is the 9949th prime number.
What is the sum of the first 9949 primes?
490,837,382.