What is the 9795th prime number?
The 9795th prime number is 102253. The next prime is 102259 (a gap of 6) and the one before is 102251.
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 9795th one is 102253.
- 2
102253 is prime because no prime up to ā102253 ā 319.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9795th prime is close to 9795 Ć ln(9795) ā 90012, and here it is 102253.
- 4
102253 is a twin prime: 102251 and 102253 are both prime.
Primes around the 9795th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9792 | 102233 | 4 |
| 9793 | 102241 | 8 |
| 9794 | 102251 | 10 |
| 9795 | 102253 | 2 |
| 9796 | 102259 | 6 |
| 9797 | 102293 | 34 |
| 9798 | 102299 | 6 |
Questions
What is the 9795th prime number?
102253.
Which prime number is 102253?
102253 is the 9795th prime number.
What is the sum of the first 9795 primes?
474,938,416.