What is the 9911th prime number?
The 9911th prime number is 103723. The next prime is 103769 (a gap of 46) and the one before is 103703.
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 9911th one is 103723.
- 2
103723 is prime because no prime up to ā103723 ā 322.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9911th prime is close to 9911 Ć ln(9911) ā 91195, and here it is 103723.
- 4
103723 has no twin: neither 103721 nor 103725 is prime.
Primes around the 9911th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9908 | 103687 | 6 |
| 9909 | 103699 | 12 |
| 9910 | 103703 | 4 |
| 9911 | 103723 | 20 |
| 9912 | 103769 | 46 |
| 9913 | 103787 | 18 |
| 9914 | 103801 | 14 |
Questions
What is the 9911th prime number?
103723.
Which prime number is 103723?
103723 is the 9911th prime number.
What is the sum of the first 9911 primes?
486,886,278.