What is the 9690th prime number?
The 9690th prime number is 101173. The next prime is 101183 (a gap of 10) and the one before is 101161.
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 9690th one is 101173.
- 2
101173 is prime because no prime up to ā101173 ā 318.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9690th prime is close to 9690 Ć ln(9690) ā 88943, and here it is 101173.
- 4
101173 has no twin: neither 101171 nor 101175 is prime.
Primes around the 9690th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9687 | 101149 | 8 |
| 9688 | 101159 | 10 |
| 9689 | 101161 | 2 |
| 9690 | 101173 | 12 |
| 9691 | 101183 | 10 |
| 9692 | 101197 | 14 |
| 9693 | 101203 | 6 |
Questions
What is the 9690th prime number?
101173.
Which prime number is 101173?
101173 is the 9690th prime number.
What is the sum of the first 9690 primes?
464,256,029.