What is the 9113th prime number?
The 9113th prime number is 94483. The next prime is 94513 (a gap of 30) and the one before is 94477.
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 9113th one is 94483.
- 2
94483 is prime because no prime up to ā94483 ā 307.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9113th prime is close to 9113 Ć ln(9113) ā 83087, and here it is 94483.
- 4
94483 has no twin: neither 94481 nor 94485 is prime.
Primes around the 9113th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9110 | 94447 | 6 |
| 9111 | 94463 | 16 |
| 9112 | 94477 | 14 |
| 9113 | 94483 | 6 |
| 9114 | 94513 | 30 |
| 9115 | 94529 | 16 |
| 9116 | 94531 | 2 |
Questions
What is the 9113th prime number?
94483.
Which prime number is 94483?
94483 is the 9113th prime number.
What is the sum of the first 9113 primes?
407,823,694.