What is the 9952nd prime number?
The 9952nd prime number is 104183. The next prime is 104207 (a gap of 24) and the one before is 104179.
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 9952nd one is 104183.
- 2
104183 is prime because no prime up to ā104183 ā 322.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9952nd prime is close to 9952 Ć ln(9952) ā 91613, and here it is 104183.
- 4
104183 has no twin: neither 104181 nor 104185 is prime.
Primes around the 9952nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9949 | 104161 | 12 |
| 9950 | 104173 | 12 |
| 9951 | 104179 | 6 |
| 9952 | 104183 | 4 |
| 9953 | 104207 | 24 |
| 9954 | 104231 | 24 |
| 9955 | 104233 | 2 |
Questions
What is the 9952nd prime number?
104183.
Which prime number is 104183?
104183 is the 9952nd prime number.
What is the sum of the first 9952 primes?
491,149,917.