What is the 9910th prime number?
The 9910th prime number is 103703. The next prime is 103723 (a gap of 20) and the one before is 103699.
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 9910th one is 103703.
- 2
103703 is prime because no prime up to ā103703 ā 322.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9910th prime is close to 9910 Ć ln(9910) ā 91185, and here it is 103703.
- 4
103703 has no twin: neither 103701 nor 103705 is prime.
Primes around the 9910th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9907 | 103681 | 12 |
| 9908 | 103687 | 6 |
| 9909 | 103699 | 12 |
| 9910 | 103703 | 4 |
| 9911 | 103723 | 20 |
| 9912 | 103769 | 46 |
| 9913 | 103787 | 18 |
Questions
What is the 9910th prime number?
103703.
Which prime number is 103703?
103703 is the 9910th prime number.
What is the sum of the first 9910 primes?
486,782,555.