What is the 9476th prime number?
The 9476th prime number is 98713. The next prime is 98717 (a gap of 4) and the one before is 98711.
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 9476th one is 98713.
- 2
98713 is prime because no prime up to ā98713 ā 314.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9476th prime is close to 9476 Ć ln(9476) ā 86767, and here it is 98713.
- 4
98713 is a twin prime: 98711 and 98713 are both prime.
Primes around the 9476th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9473 | 98669 | 6 |
| 9474 | 98689 | 20 |
| 9475 | 98711 | 22 |
| 9476 | 98713 | 2 |
| 9477 | 98717 | 4 |
| 9478 | 98729 | 12 |
| 9479 | 98731 | 2 |
Questions
What is the 9476th prime number?
98713.
Which prime number is 98713?
98713 is the 9476th prime number.
What is the sum of the first 9476 primes?
442,872,709.