What is the 9135th prime number?
The 9135th prime number is 94747. The next prime is 94771 (a gap of 24) and the one before is 94727.
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 9135th one is 94747.
- 2
94747 is prime because no prime up to ā94747 ā 307.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9135th prime is close to 9135 Ć ln(9135) ā 83310, and here it is 94747.
- 4
94747 has no twin: neither 94745 nor 94749 is prime.
Primes around the 9135th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9132 | 94709 | 16 |
| 9133 | 94723 | 14 |
| 9134 | 94727 | 4 |
| 9135 | 94747 | 20 |
| 9136 | 94771 | 24 |
| 9137 | 94777 | 6 |
| 9138 | 94781 | 4 |
Questions
What is the 9135th prime number?
94747.
Which prime number is 94747?
94747 is the 9135th prime number.
What is the sum of the first 9135 primes?
409,905,194.