What is the 9469th prime number?
The 9469th prime number is 98627. The next prime is 98639 (a gap of 12) and the one before is 98621.
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 9469th one is 98627.
- 2
98627 is prime because no prime up to ā98627 ā 314.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9469th prime is close to 9469 Ć ln(9469) ā 86696, and here it is 98627.
- 4
98627 has no twin: neither 98625 nor 98629 is prime.
Primes around the 9469th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9466 | 98573 | 10 |
| 9467 | 98597 | 24 |
| 9468 | 98621 | 24 |
| 9469 | 98627 | 6 |
| 9470 | 98639 | 12 |
| 9471 | 98641 | 2 |
| 9472 | 98663 | 22 |
Questions
What is the 9469th prime number?
98627.
Which prime number is 98627?
98627 is the 9469th prime number.
What is the sum of the first 9469 primes?
442,181,984.