What is the 9229th prime number?
The 9229th prime number is 95747. The next prime is 95773 (a gap of 26) and the one before is 95737.
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 9229th one is 95747.
- 2
95747 is prime because no prime up to ā95747 ā 309.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9229th prime is close to 9229 Ć ln(9229) ā 84262, and here it is 95747.
- 4
95747 has no twin: neither 95745 nor 95749 is prime.
Primes around the 9229th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9226 | 95723 | 6 |
| 9227 | 95731 | 8 |
| 9228 | 95737 | 6 |
| 9229 | 95747 | 10 |
| 9230 | 95773 | 26 |
| 9231 | 95783 | 10 |
| 9232 | 95789 | 6 |
Questions
What is the 9229th prime number?
95747.
Which prime number is 95747?
95747 is the 9229th prime number.
What is the sum of the first 9229 primes?
418,858,938.