What is the 9468th prime number?
The 9468th prime number is 98621. The next prime is 98627 (a gap of 6) and the one before is 98597.
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 9468th one is 98621.
- 2
98621 is prime because no prime up to ā98621 ā 314.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9468th prime is close to 9468 Ć ln(9468) ā 86686, and here it is 98621.
- 4
98621 has no twin: neither 98619 nor 98623 is prime.
Primes around the 9468th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9465 | 98563 | 2 |
| 9466 | 98573 | 10 |
| 9467 | 98597 | 24 |
| 9468 | 98621 | 24 |
| 9469 | 98627 | 6 |
| 9470 | 98639 | 12 |
| 9471 | 98641 | 2 |
Questions
What is the 9468th prime number?
98621.
Which prime number is 98621?
98621 is the 9468th prime number.
What is the sum of the first 9468 primes?
442,083,357.