What is the 9479th prime number?
The 9479th prime number is 98731. The next prime is 98737 (a gap of 6) and the one before is 98729.
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 9479th one is 98731.
- 2
98731 is prime because no prime up to ā98731 ā 314.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9479th prime is close to 9479 Ć ln(9479) ā 86798, and here it is 98731.
- 4
98731 is a twin prime: 98729 and 98731 are both prime.
Primes around the 9479th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9476 | 98713 | 2 |
| 9477 | 98717 | 4 |
| 9478 | 98729 | 12 |
| 9479 | 98731 | 2 |
| 9480 | 98737 | 6 |
| 9481 | 98773 | 36 |
| 9482 | 98779 | 6 |
Questions
What is the 9479th prime number?
98731.
Which prime number is 98731?
98731 is the 9479th prime number.
What is the sum of the first 9479 primes?
443,168,886.