What is the 9680th prime number?
The 9680th prime number is 101089. The next prime is 101107 (a gap of 18) and the one before is 101081.
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 9680th one is 101089.
- 2
101089 is prime because no prime up to ā101089 ā 317.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9680th prime is close to 9680 Ć ln(9680) ā 88841, and here it is 101089.
- 4
101089 has no twin: neither 101087 nor 101091 is prime.
Primes around the 9680th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9677 | 101051 | 24 |
| 9678 | 101063 | 12 |
| 9679 | 101081 | 18 |
| 9680 | 101089 | 8 |
| 9681 | 101107 | 18 |
| 9682 | 101111 | 4 |
| 9683 | 101113 | 2 |
Questions
What is the 9680th prime number?
101089.
Which prime number is 101089?
101089 is the 9680th prime number.
What is the sum of the first 9680 primes?
463,244,679.