What is the 9256th prime number?
The 9256th prime number is 96043. The next prime is 96053 (a gap of 10) and the one before is 96017.
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 9256th one is 96043.
- 2
96043 is prime because no prime up to ā96043 ā 309.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9256th prime is close to 9256 Ć ln(9256) ā 84535, and here it is 96043.
- 4
96043 has no twin: neither 96041 nor 96045 is prime.
Primes around the 9256th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9253 | 96001 | 12 |
| 9254 | 96013 | 12 |
| 9255 | 96017 | 4 |
| 9256 | 96043 | 26 |
| 9257 | 96053 | 10 |
| 9258 | 96059 | 6 |
| 9259 | 96079 | 20 |
Questions
What is the 9256th prime number?
96043.
Which prime number is 96043?
96043 is the 9256th prime number.
What is the sum of the first 9256 primes?
421,448,245.