What is the 9799th prime number?
The 9799th prime number is 102301. The next prime is 102317 (a gap of 16) and the one before is 102299.
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 9799th one is 102301.
- 2
102301 is prime because no prime up to ā102301 ā 319.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9799th prime is close to 9799 Ć ln(9799) ā 90053, and here it is 102301.
- 4
102301 is a twin prime: 102299 and 102301 are both prime.
Primes around the 9799th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9796 | 102259 | 6 |
| 9797 | 102293 | 34 |
| 9798 | 102299 | 6 |
| 9799 | 102301 | 2 |
| 9800 | 102317 | 16 |
| 9801 | 102329 | 12 |
| 9802 | 102337 | 8 |
Questions
What is the 9799th prime number?
102301.
Which prime number is 102301?
102301 is the 9799th prime number.
What is the sum of the first 9799 primes?
475,347,568.