What is the 9908th prime number?
The 9908th prime number is 103687. The next prime is 103699 (a gap of 12) and the one before is 103681.
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 9908th one is 103687.
- 2
103687 is prime because no prime up to ā103687 ā 322.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9908th prime is close to 9908 Ć ln(9908) ā 91164, and here it is 103687.
- 4
103687 has no twin: neither 103685 nor 103689 is prime.
Primes around the 9908th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9905 | 103657 | 6 |
| 9906 | 103669 | 12 |
| 9907 | 103681 | 12 |
| 9908 | 103687 | 6 |
| 9909 | 103699 | 12 |
| 9910 | 103703 | 4 |
| 9911 | 103723 | 20 |
Questions
What is the 9908th prime number?
103687.
Which prime number is 103687?
103687 is the 9908th prime number.
What is the sum of the first 9908 primes?
486,575,153.