What is the 9787th prime number?
The 9787th prime number is 102197. The next prime is 102199 (a gap of 2) and the one before is 102191.
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 9787th one is 102197.
- 2
102197 is prime because no prime up to ā102197 ā 319.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9787th prime is close to 9787 Ć ln(9787) ā 89931, and here it is 102197.
- 4
102197 is a twin prime: 102197 and 102199 are both prime.
Primes around the 9787th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9784 | 102161 | 12 |
| 9785 | 102181 | 20 |
| 9786 | 102191 | 10 |
| 9787 | 102197 | 6 |
| 9788 | 102199 | 2 |
| 9789 | 102203 | 4 |
| 9790 | 102217 | 14 |
Questions
What is the 9787th prime number?
102197.
Which prime number is 102197?
102197 is the 9787th prime number.
What is the sum of the first 9787 primes?
474,120,590.