What is the 9292nd prime number?
The 9292nd prime number is 96479. The next prime is 96487 (a gap of 8) and the one before is 96469.
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 9292nd one is 96479.
- 2
96479 is prime because no prime up to ā96479 ā 310.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9292nd prime is close to 9292 Ć ln(9292) ā 84900, and here it is 96479.
- 4
96479 has no twin: neither 96477 nor 96481 is prime.
Primes around the 9292nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9289 | 96457 | 6 |
| 9290 | 96461 | 4 |
| 9291 | 96469 | 8 |
| 9292 | 96479 | 10 |
| 9293 | 96487 | 8 |
| 9294 | 96493 | 6 |
| 9295 | 96497 | 4 |
Questions
What is the 9292nd prime number?
96479.
Which prime number is 96479?
96479 is the 9292nd prime number.
What is the sum of the first 9292 primes?
424,914,305.