What is the 9123rd prime number?
The 9123rd prime number is 94583. The next prime is 94597 (a gap of 14) and the one before is 94573.
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 9123rd one is 94583.
- 2
94583 is prime because no prime up to ā94583 ā 307.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9123rd prime is close to 9123 Ć ln(9123) ā 83189, and here it is 94583.
- 4
94583 has no twin: neither 94581 nor 94585 is prime.
Primes around the 9123rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9120 | 94559 | 12 |
| 9121 | 94561 | 2 |
| 9122 | 94573 | 12 |
| 9123 | 94583 | 10 |
| 9124 | 94597 | 14 |
| 9125 | 94603 | 6 |
| 9126 | 94613 | 10 |
Questions
What is the 9123rd prime number?
94583.
Which prime number is 94583?
94583 is the 9123rd prime number.
What is the sum of the first 9123 primes?
408,769,174.