What is the 9289th prime number?
The 9289th prime number is 96457. The next prime is 96461 (a gap of 4) and the one before is 96451.
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 9289th one is 96457.
- 2
96457 is prime because no prime up to ā96457 ā 310.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9289th prime is close to 9289 Ć ln(9289) ā 84870, and here it is 96457.
- 4
96457 has no twin: neither 96455 nor 96459 is prime.
Primes around the 9289th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9286 | 96431 | 12 |
| 9287 | 96443 | 12 |
| 9288 | 96451 | 8 |
| 9289 | 96457 | 6 |
| 9290 | 96461 | 4 |
| 9291 | 96469 | 8 |
| 9292 | 96479 | 10 |
Questions
What is the 9289th prime number?
96457.
Which prime number is 96457?
96457 is the 9289th prime number.
What is the sum of the first 9289 primes?
424,624,896.