What is the 9691st prime number?
The 9691st prime number is 101183. The next prime is 101197 (a gap of 14) and the one before is 101173.
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 9691st one is 101183.
- 2
101183 is prime because no prime up to ā101183 ā 318.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9691st prime is close to 9691 Ć ln(9691) ā 88953, and here it is 101183.
- 4
101183 has no twin: neither 101181 nor 101185 is prime.
Primes around the 9691st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9688 | 101159 | 10 |
| 9689 | 101161 | 2 |
| 9690 | 101173 | 12 |
| 9691 | 101183 | 10 |
| 9692 | 101197 | 14 |
| 9693 | 101203 | 6 |
| 9694 | 101207 | 4 |
Questions
What is the 9691st prime number?
101183.
Which prime number is 101183?
101183 is the 9691st prime number.
What is the sum of the first 9691 primes?
464,357,212.