What is the 9467th prime number?
The 9467th prime number is 98597. The next prime is 98621 (a gap of 24) and the one before is 98573.
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 9467th one is 98597.
- 2
98597 is prime because no prime up to ā98597 ā 314.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9467th prime is close to 9467 Ć ln(9467) ā 86676, and here it is 98597.
- 4
98597 has no twin: neither 98595 nor 98599 is prime.
Primes around the 9467th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9464 | 98561 | 18 |
| 9465 | 98563 | 2 |
| 9466 | 98573 | 10 |
| 9467 | 98597 | 24 |
| 9468 | 98621 | 24 |
| 9469 | 98627 | 6 |
| 9470 | 98639 | 12 |
Questions
What is the 9467th prime number?
98597.
Which prime number is 98597?
98597 is the 9467th prime number.
What is the sum of the first 9467 primes?
441,984,736.