What is the 9478th prime number?
The 9478th prime number is 98729. The next prime is 98731 (a gap of 2) and the one before is 98717.
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 9478th one is 98729.
- 2
98729 is prime because no prime up to ā98729 ā 314.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9478th prime is close to 9478 Ć ln(9478) ā 86787, and here it is 98729.
- 4
98729 is a twin prime: 98729 and 98731 are both prime.
Primes around the 9478th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9475 | 98711 | 22 |
| 9476 | 98713 | 2 |
| 9477 | 98717 | 4 |
| 9478 | 98729 | 12 |
| 9479 | 98731 | 2 |
| 9480 | 98737 | 6 |
| 9481 | 98773 | 36 |
Questions
What is the 9478th prime number?
98729.
Which prime number is 98729?
98729 is the 9478th prime number.
What is the sum of the first 9478 primes?
443,070,155.