What is the 9477th prime number?
The 9477th prime number is 98717. The next prime is 98729 (a gap of 12) and the one before is 98713.
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 9477th one is 98717.
- 2
98717 is prime because no prime up to ā98717 ā 314.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9477th prime is close to 9477 Ć ln(9477) ā 86777, and here it is 98717.
- 4
98717 has no twin: neither 98715 nor 98719 is prime.
Primes around the 9477th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9474 | 98689 | 20 |
| 9475 | 98711 | 22 |
| 9476 | 98713 | 2 |
| 9477 | 98717 | 4 |
| 9478 | 98729 | 12 |
| 9479 | 98731 | 2 |
| 9480 | 98737 | 6 |
Questions
What is the 9477th prime number?
98717.
Which prime number is 98717?
98717 is the 9477th prime number.
What is the sum of the first 9477 primes?
442,971,426.