What is the 9909th prime number?
The 9909th prime number is 103699. The next prime is 103703 (a gap of 4) and the one before is 103687.
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 9909th one is 103699.
- 2
103699 is prime because no prime up to ā103699 ā 322.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9909th prime is close to 9909 Ć ln(9909) ā 91175, and here it is 103699.
- 4
103699 has no twin: neither 103697 nor 103701 is prime.
Primes around the 9909th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9906 | 103669 | 12 |
| 9907 | 103681 | 12 |
| 9908 | 103687 | 6 |
| 9909 | 103699 | 12 |
| 9910 | 103703 | 4 |
| 9911 | 103723 | 20 |
| 9912 | 103769 | 46 |
Questions
What is the 9909th prime number?
103699.
Which prime number is 103699?
103699 is the 9909th prime number.
What is the sum of the first 9909 primes?
486,678,852.