What is the 9225th prime number?
The 9225th prime number is 95717. The next prime is 95723 (a gap of 6) and the one before is 95713.
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 9225th one is 95717.
- 2
95717 is prime because no prime up to ā95717 ā 309.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9225th prime is close to 9225 Ć ln(9225) ā 84221, and here it is 95717.
- 4
95717 has no twin: neither 95715 nor 95719 is prime.
Primes around the 9225th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9222 | 95701 | 50 |
| 9223 | 95707 | 6 |
| 9224 | 95713 | 6 |
| 9225 | 95717 | 4 |
| 9226 | 95723 | 6 |
| 9227 | 95731 | 8 |
| 9228 | 95737 | 6 |
Questions
What is the 9225th prime number?
95717.
Which prime number is 95717?
95717 is the 9225th prime number.
What is the sum of the first 9225 primes?
418,476,000.