What is the 9912th prime number?
The 9912th prime number is 103769. The next prime is 103787 (a gap of 18) and the one before is 103723.
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 9912th one is 103769.
- 2
103769 is prime because no prime up to ā103769 ā 322.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9912th prime is close to 9912 Ć ln(9912) ā 91205, and here it is 103769.
- 4
103769 has no twin: neither 103767 nor 103771 is prime.
Primes around the 9912th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9909 | 103699 | 12 |
| 9910 | 103703 | 4 |
| 9911 | 103723 | 20 |
| 9912 | 103769 | 46 |
| 9913 | 103787 | 18 |
| 9914 | 103801 | 14 |
| 9915 | 103811 | 10 |
Questions
What is the 9912th prime number?
103769.
Which prime number is 103769?
103769 is the 9912th prime number.
What is the sum of the first 9912 primes?
486,990,047.