What is the 9669th prime number?
The 9669th prime number is 100943. The next prime is 100957 (a gap of 14) and the one before is 100937.
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 9669th one is 100943.
- 2
100943 is prime because no prime up to ā100943 ā 317.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9669th prime is close to 9669 Ć ln(9669) ā 88729, and here it is 100943.
- 4
100943 has no twin: neither 100941 nor 100945 is prime.
Primes around the 9669th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9666 | 100927 | 14 |
| 9667 | 100931 | 4 |
| 9668 | 100937 | 6 |
| 9669 | 100943 | 6 |
| 9670 | 100957 | 14 |
| 9671 | 100981 | 24 |
| 9672 | 100987 | 6 |
Questions
What is the 9669th prime number?
100943.
Which prime number is 100943?
100943 is the 9669th prime number.
What is the sum of the first 9669 primes?
462,133,414.