What is the 9133rd prime number?
The 9133rd prime number is 94723. The next prime is 94727 (a gap of 4) and the one before is 94709.
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 9133rd one is 94723.
- 2
94723 is prime because no prime up to ā94723 ā 307.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9133rd prime is close to 9133 Ć ln(9133) ā 83290, and here it is 94723.
- 4
94723 has no twin: neither 94721 nor 94725 is prime.
Primes around the 9133rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9130 | 94687 | 36 |
| 9131 | 94693 | 6 |
| 9132 | 94709 | 16 |
| 9133 | 94723 | 14 |
| 9134 | 94727 | 4 |
| 9135 | 94747 | 20 |
| 9136 | 94771 | 24 |
Questions
What is the 9133rd prime number?
94723.
Which prime number is 94723?
94723 is the 9133rd prime number.
What is the sum of the first 9133 primes?
409,715,720.