What is the 9688th prime number?
The 9688th prime number is 101159. The next prime is 101161 (a gap of 2) and the one before is 101149.
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 9688th one is 101159.
- 2
101159 is prime because no prime up to ā101159 ā 318.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9688th prime is close to 9688 Ć ln(9688) ā 88923, and here it is 101159.
- 4
101159 is a twin prime: 101159 and 101161 are both prime.
Primes around the 9688th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9685 | 101119 | 2 |
| 9686 | 101141 | 22 |
| 9687 | 101149 | 8 |
| 9688 | 101159 | 10 |
| 9689 | 101161 | 2 |
| 9690 | 101173 | 12 |
| 9691 | 101183 | 10 |
Questions
What is the 9688th prime number?
101159.
Which prime number is 101159?
101159 is the 9688th prime number.
What is the sum of the first 9688 primes?
464,053,695.