What is the 9668th prime number?
The 9668th prime number is 100937. The next prime is 100943 (a gap of 6) and the one before is 100931.
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 9668th one is 100937.
- 2
100937 is prime because no prime up to ā100937 ā 317.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9668th prime is close to 9668 Ć ln(9668) ā 88719, and here it is 100937.
- 4
100937 has no twin: neither 100935 nor 100939 is prime.
Primes around the 9668th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9665 | 100913 | 6 |
| 9666 | 100927 | 14 |
| 9667 | 100931 | 4 |
| 9668 | 100937 | 6 |
| 9669 | 100943 | 6 |
| 9670 | 100957 | 14 |
| 9671 | 100981 | 24 |
Questions
What is the 9668th prime number?
100937.
Which prime number is 100937?
100937 is the 9668th prime number.
What is the sum of the first 9668 primes?
462,032,471.