What is the 9493rd prime number?
The 9493rd prime number is 98897. The next prime is 98899 (a gap of 2) and the one before is 98893.
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 9493rd one is 98897.
- 2
98897 is prime because no prime up to ā98897 ā 314.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9493rd prime is close to 9493 Ć ln(9493) ā 86940, and here it is 98897.
- 4
98897 is a twin prime: 98897 and 98899 are both prime.
Primes around the 9493rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9490 | 98873 | 4 |
| 9491 | 98887 | 14 |
| 9492 | 98893 | 6 |
| 9493 | 98897 | 4 |
| 9494 | 98899 | 2 |
| 9495 | 98909 | 10 |
| 9496 | 98911 | 2 |
Questions
What is the 9493rd prime number?
98897.
Which prime number is 98897?
98897 is the 9493rd prime number.
What is the sum of the first 9493 primes?
444,552,564.