What is the 9953rd prime number?
The 9953rd prime number is 104207. The next prime is 104231 (a gap of 24) and the one before is 104183.
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 9953rd one is 104207.
- 2
104207 is prime because no prime up to ā104207 ā 322.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9953rd prime is close to 9953 Ć ln(9953) ā 91624, and here it is 104207.
- 4
104207 has no twin: neither 104205 nor 104209 is prime.
Primes around the 9953rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9950 | 104173 | 12 |
| 9951 | 104179 | 6 |
| 9952 | 104183 | 4 |
| 9953 | 104207 | 24 |
| 9954 | 104231 | 24 |
| 9955 | 104233 | 2 |
| 9956 | 104239 | 6 |
Questions
What is the 9953rd prime number?
104207.
Which prime number is 104207?
104207 is the 9953rd prime number.
What is the sum of the first 9953 primes?
491,254,124.