What is the 9682nd prime number?
The 9682nd prime number is 101111. The next prime is 101113 (a gap of 2) and the one before is 101107.
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 9682nd one is 101111.
- 2
101111 is prime because no prime up to ā101111 ā 317.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9682nd prime is close to 9682 Ć ln(9682) ā 88862, and here it is 101111.
- 4
101111 is a twin prime: 101111 and 101113 are both prime.
Primes around the 9682nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9679 | 101081 | 18 |
| 9680 | 101089 | 8 |
| 9681 | 101107 | 18 |
| 9682 | 101111 | 4 |
| 9683 | 101113 | 2 |
| 9684 | 101117 | 4 |
| 9685 | 101119 | 2 |
Questions
What is the 9682nd prime number?
101111.
Which prime number is 101111?
101111 is the 9682nd prime number.
What is the sum of the first 9682 primes?
463,446,897.