What is the 9253rd prime number?
The 9253rd prime number is 96001. The next prime is 96013 (a gap of 12) and the one before is 95989.
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 9253rd one is 96001.
- 2
96001 is prime because no prime up to ā96001 ā 309.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9253rd prime is close to 9253 Ć ln(9253) ā 84505, and here it is 96001.
- 4
96001 has no twin: neither 95999 nor 96003 is prime.
Primes around the 9253rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9250 | 95971 | 12 |
| 9251 | 95987 | 16 |
| 9252 | 95989 | 2 |
| 9253 | 96001 | 12 |
| 9254 | 96013 | 12 |
| 9255 | 96017 | 4 |
| 9256 | 96043 | 26 |
Questions
What is the 9253rd prime number?
96001.
Which prime number is 96001?
96001 is the 9253rd prime number.
What is the sum of the first 9253 primes?
421,160,172.