What is the 9907th prime number?
The 9907th prime number is 103681. The next prime is 103687 (a gap of 6) and the one before is 103669.
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 9907th one is 103681.
- 2
103681 is prime because no prime up to ā103681 ā 322.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9907th prime is close to 9907 Ć ln(9907) ā 91154, and here it is 103681.
- 4
103681 has no twin: neither 103679 nor 103683 is prime.
Primes around the 9907th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9904 | 103651 | 8 |
| 9905 | 103657 | 6 |
| 9906 | 103669 | 12 |
| 9907 | 103681 | 12 |
| 9908 | 103687 | 6 |
| 9909 | 103699 | 12 |
| 9910 | 103703 | 4 |
Questions
What is the 9907th prime number?
103681.
Which prime number is 103681?
103681 is the 9907th prime number.
What is the sum of the first 9907 primes?
486,471,466.