What is the 9898th prime number?
The 9898th prime number is 103577. The next prime is 103583 (a gap of 6) and the one before is 103573.
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 9898th one is 103577.
- 2
103577 is prime because no prime up to ā103577 ā 321.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9898th prime is close to 9898 Ć ln(9898) ā 91062, and here it is 103577.
- 4
103577 has no twin: neither 103575 nor 103579 is prime.
Primes around the 9898th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9895 | 103561 | 8 |
| 9896 | 103567 | 6 |
| 9897 | 103573 | 6 |
| 9898 | 103577 | 4 |
| 9899 | 103583 | 6 |
| 9900 | 103591 | 8 |
| 9901 | 103613 | 22 |
Questions
What is the 9898th prime number?
103577.
Which prime number is 103577?
103577 is the 9898th prime number.
What is the sum of the first 9898 primes?
485,538,759.