What is the 9273rd prime number?
The 9273rd prime number is 96263. The next prime is 96269 (a gap of 6) and the one before is 96259.
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 9273rd one is 96263.
- 2
96263 is prime because no prime up to ā96263 ā 310.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9273rd prime is close to 9273 Ć ln(9273) ā 84708, and here it is 96263.
- 4
96263 has no twin: neither 96261 nor 96265 is prime.
Primes around the 9273rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9270 | 96223 | 2 |
| 9271 | 96233 | 10 |
| 9272 | 96259 | 26 |
| 9273 | 96263 | 4 |
| 9274 | 96269 | 6 |
| 9275 | 96281 | 12 |
| 9276 | 96289 | 8 |
Questions
What is the 9273rd prime number?
96263.
Which prime number is 96263?
96263 is the 9273rd prime number.
What is the sum of the first 9273 primes?
423,083,112.