What is the 9580th prime number?
The 9580th prime number is 99839. The next prime is 99859 (a gap of 20) and the one before is 99833.
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 9580th one is 99839.
- 2
99839 is prime because no prime up to ā99839 ā 315.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9580th prime is close to 9580 Ć ln(9580) ā 87824, and here it is 99839.
- 4
99839 has no twin: neither 99837 nor 99841 is prime.
Primes around the 9580th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9577 | 99823 | 6 |
| 9578 | 99829 | 6 |
| 9579 | 99833 | 4 |
| 9580 | 99839 | 6 |
| 9581 | 99859 | 20 |
| 9582 | 99871 | 12 |
| 9583 | 99877 | 6 |
Questions
What is the 9580th prime number?
99839.
Which prime number is 99839?
99839 is the 9580th prime number.
What is the sum of the first 9580 primes?
453,197,477.