What is the 9684th prime number?
The 9684th prime number is 101117. The next prime is 101119 (a gap of 2) and the one before is 101113.
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 9684th one is 101117.
- 2
101117 is prime because no prime up to ā101117 ā 317.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9684th prime is close to 9684 Ć ln(9684) ā 88882, and here it is 101117.
- 4
101117 is a twin prime: 101117 and 101119 are both prime.
Primes around the 9684th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9681 | 101107 | 18 |
| 9682 | 101111 | 4 |
| 9683 | 101113 | 2 |
| 9684 | 101117 | 4 |
| 9685 | 101119 | 2 |
| 9686 | 101141 | 22 |
| 9687 | 101149 | 8 |
Questions
What is the 9684th prime number?
101117.
Which prime number is 101117?
101117 is the 9684th prime number.
What is the sum of the first 9684 primes?
463,649,127.