What is the 9122nd prime number?
The 9122nd prime number is 94573. The next prime is 94583 (a gap of 10) and the one before is 94561.
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 9122nd one is 94573.
- 2
94573 is prime because no prime up to ā94573 ā 307.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9122nd prime is close to 9122 Ć ln(9122) ā 83178, and here it is 94573.
- 4
94573 has no twin: neither 94571 nor 94575 is prime.
Primes around the 9122nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9119 | 94547 | 4 |
| 9120 | 94559 | 12 |
| 9121 | 94561 | 2 |
| 9122 | 94573 | 12 |
| 9123 | 94583 | 10 |
| 9124 | 94597 | 14 |
| 9125 | 94603 | 6 |
Questions
What is the 9122nd prime number?
94573.
Which prime number is 94573?
94573 is the 9122nd prime number.
What is the sum of the first 9122 primes?
408,674,591.