What is the 9489th prime number?
The 9489th prime number is 98869. The next prime is 98873 (a gap of 4) and the one before is 98867.
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 9489th one is 98869.
- 2
98869 is prime because no prime up to ā98869 ā 314.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9489th prime is close to 9489 Ć ln(9489) ā 86899, and here it is 98869.
- 4
98869 is a twin prime: 98867 and 98869 are both prime.
Primes around the 9489th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9486 | 98837 | 28 |
| 9487 | 98849 | 12 |
| 9488 | 98867 | 18 |
| 9489 | 98869 | 2 |
| 9490 | 98873 | 4 |
| 9491 | 98887 | 14 |
| 9492 | 98893 | 6 |
Questions
What is the 9489th prime number?
98869.
Which prime number is 98869?
98869 is the 9489th prime number.
What is the sum of the first 9489 primes?
444,157,014.