What is the 9681st prime number?
The 9681st prime number is 101107. The next prime is 101111 (a gap of 4) and the one before is 101089.
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 9681st one is 101107.
- 2
101107 is prime because no prime up to ā101107 ā 317.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9681st prime is close to 9681 Ć ln(9681) ā 88851, and here it is 101107.
- 4
101107 has no twin: neither 101105 nor 101109 is prime.
Primes around the 9681st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9678 | 101063 | 12 |
| 9679 | 101081 | 18 |
| 9680 | 101089 | 8 |
| 9681 | 101107 | 18 |
| 9682 | 101111 | 4 |
| 9683 | 101113 | 2 |
| 9684 | 101117 | 4 |
Questions
What is the 9681st prime number?
101107.
Which prime number is 101107?
101107 is the 9681st prime number.
What is the sum of the first 9681 primes?
463,345,786.