What is the 9487th prime number?
The 9487th prime number is 98849. The next prime is 98867 (a gap of 18) and the one before is 98837.
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 9487th one is 98849.
- 2
98849 is prime because no prime up to ā98849 ā 314.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9487th prime is close to 9487 Ć ln(9487) ā 86879, and here it is 98849.
- 4
98849 has no twin: neither 98847 nor 98851 is prime.
Primes around the 9487th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9484 | 98807 | 6 |
| 9485 | 98809 | 2 |
| 9486 | 98837 | 28 |
| 9487 | 98849 | 12 |
| 9488 | 98867 | 18 |
| 9489 | 98869 | 2 |
| 9490 | 98873 | 4 |
Questions
What is the 9487th prime number?
98849.
Which prime number is 98849?
98849 is the 9487th prime number.
What is the sum of the first 9487 primes?
443,959,278.