What is the 9665th prime number?
The 9665th prime number is 100913. The next prime is 100927 (a gap of 14) and the one before is 100907.
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 9665th one is 100913.
- 2
100913 is prime because no prime up to ā100913 ā 317.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9665th prime is close to 9665 Ć ln(9665) ā 88689, and here it is 100913.
- 4
100913 has no twin: neither 100911 nor 100915 is prime.
Primes around the 9665th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9662 | 100847 | 18 |
| 9663 | 100853 | 6 |
| 9664 | 100907 | 54 |
| 9665 | 100913 | 6 |
| 9666 | 100927 | 14 |
| 9667 | 100931 | 4 |
| 9668 | 100937 | 6 |
Questions
What is the 9665th prime number?
100913.
Which prime number is 100913?
100913 is the 9665th prime number.
What is the sum of the first 9665 primes?
461,729,676.