What is the 9291st prime number?
The 9291st prime number is 96469. The next prime is 96479 (a gap of 10) and the one before is 96461.
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 9291st one is 96469.
- 2
96469 is prime because no prime up to ā96469 ā 310.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9291st prime is close to 9291 Ć ln(9291) ā 84890, and here it is 96469.
- 4
96469 has no twin: neither 96467 nor 96471 is prime.
Primes around the 9291st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9288 | 96451 | 8 |
| 9289 | 96457 | 6 |
| 9290 | 96461 | 4 |
| 9291 | 96469 | 8 |
| 9292 | 96479 | 10 |
| 9293 | 96487 | 8 |
| 9294 | 96493 | 6 |
Questions
What is the 9291st prime number?
96469.
Which prime number is 96469?
96469 is the 9291st prime number.
What is the sum of the first 9291 primes?
424,817,826.