What is the 9228th prime number?
The 9228th prime number is 95737. The next prime is 95747 (a gap of 10) and the one before is 95731.
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 9228th one is 95737.
- 2
95737 is prime because no prime up to ā95737 ā 309.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9228th prime is close to 9228 Ć ln(9228) ā 84252, and here it is 95737.
- 4
95737 has no twin: neither 95735 nor 95739 is prime.
Primes around the 9228th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9225 | 95717 | 4 |
| 9226 | 95723 | 6 |
| 9227 | 95731 | 8 |
| 9228 | 95737 | 6 |
| 9229 | 95747 | 10 |
| 9230 | 95773 | 26 |
| 9231 | 95783 | 10 |
Questions
What is the 9228th prime number?
95737.
Which prime number is 95737?
95737 is the 9228th prime number.
What is the sum of the first 9228 primes?
418,763,191.