What is the 9254th prime number?
The 9254th prime number is 96013. The next prime is 96017 (a gap of 4) and the one before is 96001.
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 9254th one is 96013.
- 2
96013 is prime because no prime up to ā96013 ā 309.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9254th prime is close to 9254 Ć ln(9254) ā 84515, and here it is 96013.
- 4
96013 has no twin: neither 96011 nor 96015 is prime.
Primes around the 9254th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9251 | 95987 | 16 |
| 9252 | 95989 | 2 |
| 9253 | 96001 | 12 |
| 9254 | 96013 | 12 |
| 9255 | 96017 | 4 |
| 9256 | 96043 | 26 |
| 9257 | 96053 | 10 |
Questions
What is the 9254th prime number?
96013.
Which prime number is 96013?
96013 is the 9254th prime number.
What is the sum of the first 9254 primes?
421,256,185.