What is the 9293rd prime number?
The 9293rd prime number is 96487. The next prime is 96493 (a gap of 6) and the one before is 96479.
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 9293rd one is 96487.
- 2
96487 is prime because no prime up to ā96487 ā 310.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9293rd prime is close to 9293 Ć ln(9293) ā 84910, and here it is 96487.
- 4
96487 has no twin: neither 96485 nor 96489 is prime.
Primes around the 9293rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9290 | 96461 | 4 |
| 9291 | 96469 | 8 |
| 9292 | 96479 | 10 |
| 9293 | 96487 | 8 |
| 9294 | 96493 | 6 |
| 9295 | 96497 | 4 |
| 9296 | 96517 | 20 |
Questions
What is the 9293rd prime number?
96487.
Which prime number is 96487?
96487 is the 9293rd prime number.
What is the sum of the first 9293 primes?
425,010,792.