What is the 9255th prime number?
The 9255th prime number is 96017. The next prime is 96043 (a gap of 26) and the one before is 96013.
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 9255th one is 96017.
- 2
96017 is prime because no prime up to ā96017 ā 309.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9255th prime is close to 9255 Ć ln(9255) ā 84525, and here it is 96017.
- 4
96017 has no twin: neither 96015 nor 96019 is prime.
Primes around the 9255th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9252 | 95989 | 2 |
| 9253 | 96001 | 12 |
| 9254 | 96013 | 12 |
| 9255 | 96017 | 4 |
| 9256 | 96043 | 26 |
| 9257 | 96053 | 10 |
| 9258 | 96059 | 6 |
Questions
What is the 9255th prime number?
96017.
Which prime number is 96017?
96017 is the 9255th prime number.
What is the sum of the first 9255 primes?
421,352,202.