What is the 9685th prime number?
The 9685th prime number is 101119. The next prime is 101141 (a gap of 22) and the one before is 101117.
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 9685th one is 101119.
- 2
101119 is prime because no prime up to ā101119 ā 317.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9685th prime is close to 9685 Ć ln(9685) ā 88892, and here it is 101119.
- 4
101119 is a twin prime: 101117 and 101119 are both prime.
Primes around the 9685th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9682 | 101111 | 4 |
| 9683 | 101113 | 2 |
| 9684 | 101117 | 4 |
| 9685 | 101119 | 2 |
| 9686 | 101141 | 22 |
| 9687 | 101149 | 8 |
| 9688 | 101159 | 10 |
Questions
What is the 9685th prime number?
101119.
Which prime number is 101119?
101119 is the 9685th prime number.
What is the sum of the first 9685 primes?
463,750,246.