What is the 9488th prime number?
The 9488th prime number is 98867. The next prime is 98869 (a gap of 2) and the one before is 98849.
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 9488th one is 98867.
- 2
98867 is prime because no prime up to ā98867 ā 314.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9488th prime is close to 9488 Ć ln(9488) ā 86889, and here it is 98867.
- 4
98867 is a twin prime: 98867 and 98869 are both prime.
Primes around the 9488th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9485 | 98809 | 2 |
| 9486 | 98837 | 28 |
| 9487 | 98849 | 12 |
| 9488 | 98867 | 18 |
| 9489 | 98869 | 2 |
| 9490 | 98873 | 4 |
| 9491 | 98887 | 14 |
Questions
What is the 9488th prime number?
98867.
Which prime number is 98867?
98867 is the 9488th prime number.
What is the sum of the first 9488 primes?
444,058,145.