What is the 9950th prime number?
The 9950th prime number is 104173. The next prime is 104179 (a gap of 6) and the one before is 104161.
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 9950th one is 104173.
- 2
104173 is prime because no prime up to ā104173 ā 322.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9950th prime is close to 9950 Ć ln(9950) ā 91593, and here it is 104173.
- 4
104173 has no twin: neither 104171 nor 104175 is prime.
Primes around the 9950th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9947 | 104147 | 24 |
| 9948 | 104149 | 2 |
| 9949 | 104161 | 12 |
| 9950 | 104173 | 12 |
| 9951 | 104179 | 6 |
| 9952 | 104183 | 4 |
| 9953 | 104207 | 24 |
Questions
What is the 9950th prime number?
104173.
Which prime number is 104173?
104173 is the 9950th prime number.
What is the sum of the first 9950 primes?
490,941,555.