What is the 9689th prime number?
The 9689th prime number is 101161. The next prime is 101173 (a gap of 12) and the one before is 101159.
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 9689th one is 101161.
- 2
101161 is prime because no prime up to ā101161 ā 318.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9689th prime is close to 9689 Ć ln(9689) ā 88933, and here it is 101161.
- 4
101161 is a twin prime: 101159 and 101161 are both prime.
Primes around the 9689th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9686 | 101141 | 22 |
| 9687 | 101149 | 8 |
| 9688 | 101159 | 10 |
| 9689 | 101161 | 2 |
| 9690 | 101173 | 12 |
| 9691 | 101183 | 10 |
| 9692 | 101197 | 14 |
Questions
What is the 9689th prime number?
101161.
Which prime number is 101161?
101161 is the 9689th prime number.
What is the sum of the first 9689 primes?
464,154,856.