What is the 9112th prime number?
The 9112th prime number is 94477. The next prime is 94483 (a gap of 6) and the one before is 94463.
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 9112th one is 94477.
- 2
94477 is prime because no prime up to ā94477 ā 307.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9112th prime is close to 9112 Ć ln(9112) ā 83077, and here it is 94477.
- 4
94477 has no twin: neither 94475 nor 94479 is prime.
Primes around the 9112th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9109 | 94441 | 2 |
| 9110 | 94447 | 6 |
| 9111 | 94463 | 16 |
| 9112 | 94477 | 14 |
| 9113 | 94483 | 6 |
| 9114 | 94513 | 30 |
| 9115 | 94529 | 16 |
Questions
What is the 9112th prime number?
94477.
Which prime number is 94477?
94477 is the 9112th prime number.
What is the sum of the first 9112 primes?
407,729,211.