What is the 9666th prime number?
The 9666th prime number is 100927. The next prime is 100931 (a gap of 4) and the one before is 100913.
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 9666th one is 100927.
- 2
100927 is prime because no prime up to ā100927 ā 317.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9666th prime is close to 9666 Ć ln(9666) ā 88699, and here it is 100927.
- 4
100927 has no twin: neither 100925 nor 100929 is prime.
Primes around the 9666th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9663 | 100853 | 6 |
| 9664 | 100907 | 54 |
| 9665 | 100913 | 6 |
| 9666 | 100927 | 14 |
| 9667 | 100931 | 4 |
| 9668 | 100937 | 6 |
| 9669 | 100943 | 6 |
Questions
What is the 9666th prime number?
100927.
Which prime number is 100927?
100927 is the 9666th prime number.
What is the sum of the first 9666 primes?
461,830,603.