What is the 9485th prime number?
The 9485th prime number is 98809. The next prime is 98837 (a gap of 28) and the one before is 98807.
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 9485th one is 98809.
- 2
98809 is prime because no prime up to ā98809 ā 314.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9485th prime is close to 9485 Ć ln(9485) ā 86859, and here it is 98809.
- 4
98809 is a twin prime: 98807 and 98809 are both prime.
Primes around the 9485th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9482 | 98779 | 6 |
| 9483 | 98801 | 22 |
| 9484 | 98807 | 6 |
| 9485 | 98809 | 2 |
| 9486 | 98837 | 28 |
| 9487 | 98849 | 12 |
| 9488 | 98867 | 18 |
Questions
What is the 9485th prime number?
98809.
Which prime number is 98809?
98809 is the 9485th prime number.
What is the sum of the first 9485 primes?
443,761,592.