What is the 9475th prime number?
The 9475th prime number is 98711. The next prime is 98713 (a gap of 2) and the one before is 98689.
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 9475th one is 98711.
- 2
98711 is prime because no prime up to ā98711 ā 314.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9475th prime is close to 9475 Ć ln(9475) ā 86757, and here it is 98711.
- 4
98711 is a twin prime: 98711 and 98713 are both prime.
Primes around the 9475th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9472 | 98663 | 22 |
| 9473 | 98669 | 6 |
| 9474 | 98689 | 20 |
| 9475 | 98711 | 22 |
| 9476 | 98713 | 2 |
| 9477 | 98717 | 4 |
| 9478 | 98729 | 12 |
Questions
What is the 9475th prime number?
98711.
Which prime number is 98711?
98711 is the 9475th prime number.
What is the sum of the first 9475 primes?
442,773,996.