What is the 9798th prime number?
The 9798th prime number is 102299. The next prime is 102301 (a gap of 2) and the one before is 102293.
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 9798th one is 102299.
- 2
102299 is prime because no prime up to ā102299 ā 319.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9798th prime is close to 9798 Ć ln(9798) ā 90043, and here it is 102299.
- 4
102299 is a twin prime: 102299 and 102301 are both prime.
Primes around the 9798th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9795 | 102253 | 2 |
| 9796 | 102259 | 6 |
| 9797 | 102293 | 34 |
| 9798 | 102299 | 6 |
| 9799 | 102301 | 2 |
| 9800 | 102317 | 16 |
| 9801 | 102329 | 12 |
Questions
What is the 9798th prime number?
102299.
Which prime number is 102299?
102299 is the 9798th prime number.
What is the sum of the first 9798 primes?
475,245,267.