What is the 9480th prime number?
The 9480th prime number is 98737. The next prime is 98773 (a gap of 36) and the one before is 98731.
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 9480th one is 98737.
- 2
98737 is prime because no prime up to ā98737 ā 314.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9480th prime is close to 9480 Ć ln(9480) ā 86808, and here it is 98737.
- 4
98737 has no twin: neither 98735 nor 98739 is prime.
Primes around the 9480th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9477 | 98717 | 4 |
| 9478 | 98729 | 12 |
| 9479 | 98731 | 2 |
| 9480 | 98737 | 6 |
| 9481 | 98773 | 36 |
| 9482 | 98779 | 6 |
| 9483 | 98801 | 22 |
Questions
What is the 9480th prime number?
98737.
Which prime number is 98737?
98737 is the 9480th prime number.
What is the sum of the first 9480 primes?
443,267,623.