What is the 9900th prime number?
The 9900th prime number is 103591. The next prime is 103613 (a gap of 22) and the one before is 103583.
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 9900th one is 103591.
- 2
103591 is prime because no prime up to ā103591 ā 321.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9900th prime is close to 9900 Ć ln(9900) ā 91083, and here it is 103591.
- 4
103591 has no twin: neither 103589 nor 103593 is prime.
Primes around the 9900th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9897 | 103573 | 6 |
| 9898 | 103577 | 4 |
| 9899 | 103583 | 6 |
| 9900 | 103591 | 8 |
| 9901 | 103613 | 22 |
| 9902 | 103619 | 6 |
| 9903 | 103643 | 24 |
Questions
What is the 9900th prime number?
103591.
Which prime number is 103591?
103591 is the 9900th prime number.
What is the sum of the first 9900 primes?
485,745,933.