What is the 9490th prime number?
The 9490th prime number is 98873. The next prime is 98887 (a gap of 14) and the one before is 98869.
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 9490th one is 98873.
- 2
98873 is prime because no prime up to ā98873 ā 314.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9490th prime is close to 9490 Ć ln(9490) ā 86909, and here it is 98873.
- 4
98873 has no twin: neither 98871 nor 98875 is prime.
Primes around the 9490th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9487 | 98849 | 12 |
| 9488 | 98867 | 18 |
| 9489 | 98869 | 2 |
| 9490 | 98873 | 4 |
| 9491 | 98887 | 14 |
| 9492 | 98893 | 6 |
| 9493 | 98897 | 4 |
Questions
What is the 9490th prime number?
98873.
Which prime number is 98873?
98873 is the 9490th prime number.
What is the sum of the first 9490 primes?
444,255,887.