What is the 9951st prime number?
The 9951st prime number is 104179. The next prime is 104183 (a gap of 4) and the one before is 104173.
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 9951st one is 104179.
- 2
104179 is prime because no prime up to ā104179 ā 322.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9951st prime is close to 9951 Ć ln(9951) ā 91603, and here it is 104179.
- 4
104179 has no twin: neither 104177 nor 104181 is prime.
Primes around the 9951st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9948 | 104149 | 2 |
| 9949 | 104161 | 12 |
| 9950 | 104173 | 12 |
| 9951 | 104179 | 6 |
| 9952 | 104183 | 4 |
| 9953 | 104207 | 24 |
| 9954 | 104231 | 24 |
Questions
What is the 9951st prime number?
104179.
Which prime number is 104179?
104179 is the 9951st prime number.
What is the sum of the first 9951 primes?
491,045,734.