What is the 9582nd prime number?
The 9582nd prime number is 99871. The next prime is 99877 (a gap of 6) and the one before is 99859.
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 9582nd one is 99871.
- 2
99871 is prime because no prime up to ā99871 ā 316.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9582nd prime is close to 9582 Ć ln(9582) ā 87844, and here it is 99871.
- 4
99871 has no twin: neither 99869 nor 99873 is prime.
Primes around the 9582nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9579 | 99833 | 4 |
| 9580 | 99839 | 6 |
| 9581 | 99859 | 20 |
| 9582 | 99871 | 12 |
| 9583 | 99877 | 6 |
| 9584 | 99881 | 4 |
| 9585 | 99901 | 20 |
Questions
What is the 9582nd prime number?
99871.
Which prime number is 99871?
99871 is the 9582nd prime number.
What is the sum of the first 9582 primes?
453,397,207.