What is the 9901st prime number?
The 9901st prime number is 103613. The next prime is 103619 (a gap of 6) and the one before is 103591.
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 9901st one is 103613.
- 2
103613 is prime because no prime up to ā103613 ā 321.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9901st prime is close to 9901 Ć ln(9901) ā 91093, and here it is 103613.
- 4
103613 has no twin: neither 103611 nor 103615 is prime.
Primes around the 9901st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9898 | 103577 | 4 |
| 9899 | 103583 | 6 |
| 9900 | 103591 | 8 |
| 9901 | 103613 | 22 |
| 9902 | 103619 | 6 |
| 9903 | 103643 | 24 |
| 9904 | 103651 | 8 |
Questions
What is the 9901st prime number?
103613.
Which prime number is 103613?
103613 is the 9901st prime number.
What is the sum of the first 9901 primes?
485,849,546.