What is the 9667th prime number?
The 9667th prime number is 100931. The next prime is 100937 (a gap of 6) and the one before is 100927.
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 9667th one is 100931.
- 2
100931 is prime because no prime up to ā100931 ā 317.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9667th prime is close to 9667 Ć ln(9667) ā 88709, and here it is 100931.
- 4
100931 has no twin: neither 100929 nor 100933 is prime.
Primes around the 9667th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9664 | 100907 | 54 |
| 9665 | 100913 | 6 |
| 9666 | 100927 | 14 |
| 9667 | 100931 | 4 |
| 9668 | 100937 | 6 |
| 9669 | 100943 | 6 |
| 9670 | 100957 | 14 |
Questions
What is the 9667th prime number?
100931.
Which prime number is 100931?
100931 is the 9667th prime number.
What is the sum of the first 9667 primes?
461,931,534.