What is the 9788th prime number?
The 9788th prime number is 102199. The next prime is 102203 (a gap of 4) and the one before is 102197.
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 9788th one is 102199.
- 2
102199 is prime because no prime up to ā102199 ā 319.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9788th prime is close to 9788 Ć ln(9788) ā 89941, and here it is 102199.
- 4
102199 is a twin prime: 102197 and 102199 are both prime.
Primes around the 9788th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9785 | 102181 | 20 |
| 9786 | 102191 | 10 |
| 9787 | 102197 | 6 |
| 9788 | 102199 | 2 |
| 9789 | 102203 | 4 |
| 9790 | 102217 | 14 |
| 9791 | 102229 | 12 |
Questions
What is the 9788th prime number?
102199.
Which prime number is 102199?
102199 is the 9788th prime number.
What is the sum of the first 9788 primes?
474,222,789.