What is the 9126th prime number?
The 9126th prime number is 94613. The next prime is 94621 (a gap of 8) and the one before is 94603.
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 9126th one is 94613.
- 2
94613 is prime because no prime up to ā94613 ā 307.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9126th prime is close to 9126 Ć ln(9126) ā 83219, and here it is 94613.
- 4
94613 has no twin: neither 94611 nor 94615 is prime.
Primes around the 9126th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9123 | 94583 | 10 |
| 9124 | 94597 | 14 |
| 9125 | 94603 | 6 |
| 9126 | 94613 | 10 |
| 9127 | 94621 | 8 |
| 9128 | 94649 | 28 |
| 9129 | 94651 | 2 |
Questions
What is the 9126th prime number?
94613.
Which prime number is 94613?
94613 is the 9126th prime number.
What is the sum of the first 9126 primes?
409,052,987.