What is the 9146th prime number?
The 9146th prime number is 94847. The next prime is 94849 (a gap of 2) and the one before is 94841.
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 9146th one is 94847.
- 2
94847 is prime because no prime up to ā94847 ā 307.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9146th prime is close to 9146 Ć ln(9146) ā 83421, and here it is 94847.
- 4
94847 is a twin prime: 94847 and 94849 are both prime.
Primes around the 9146th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9143 | 94823 | 4 |
| 9144 | 94837 | 14 |
| 9145 | 94841 | 4 |
| 9146 | 94847 | 6 |
| 9147 | 94849 | 2 |
| 9148 | 94873 | 24 |
| 9149 | 94889 | 16 |
Questions
What is the 9146th prime number?
94847.
Which prime number is 94847?
94847 is the 9146th prime number.
What is the sum of the first 9146 primes?
410,948,083.