What is the 9578th prime number?
The 9578th prime number is 99829. The next prime is 99833 (a gap of 4) and the one before is 99823.
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 9578th one is 99829.
- 2
99829 is prime because no prime up to ā99829 ā 315.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9578th prime is close to 9578 Ć ln(9578) ā 87804, and here it is 99829.
- 4
99829 has no twin: neither 99827 nor 99831 is prime.
Primes around the 9578th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9575 | 99809 | 16 |
| 9576 | 99817 | 8 |
| 9577 | 99823 | 6 |
| 9578 | 99829 | 6 |
| 9579 | 99833 | 4 |
| 9580 | 99839 | 6 |
| 9581 | 99859 | 20 |
Questions
What is the 9578th prime number?
99829.
Which prime number is 99829?
99829 is the 9578th prime number.
What is the sum of the first 9578 primes?
452,997,805.