What is the 9683rd prime number?
The 9683rd prime number is 101113. The next prime is 101117 (a gap of 4) and the one before is 101111.
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 9683rd one is 101113.
- 2
101113 is prime because no prime up to ā101113 ā 317.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9683rd prime is close to 9683 Ć ln(9683) ā 88872, and here it is 101113.
- 4
101113 is a twin prime: 101111 and 101113 are both prime.
Primes around the 9683rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9680 | 101089 | 8 |
| 9681 | 101107 | 18 |
| 9682 | 101111 | 4 |
| 9683 | 101113 | 2 |
| 9684 | 101117 | 4 |
| 9685 | 101119 | 2 |
| 9686 | 101141 | 22 |
Questions
What is the 9683rd prime number?
101113.
Which prime number is 101113?
101113 is the 9683rd prime number.
What is the sum of the first 9683 primes?
463,548,010.