What is the 9824th prime number?
The 9824th prime number is 102593. The next prime is 102607 (a gap of 14) and the one before is 102587.
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 9824th one is 102593.
- 2
102593 is prime because no prime up to ā102593 ā 320.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9824th prime is close to 9824 Ć ln(9824) ā 90308, and here it is 102593.
- 4
102593 has no twin: neither 102591 nor 102595 is prime.
Primes around the 9824th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9821 | 102559 | 8 |
| 9822 | 102563 | 4 |
| 9823 | 102587 | 24 |
| 9824 | 102593 | 6 |
| 9825 | 102607 | 14 |
| 9826 | 102611 | 4 |
| 9827 | 102643 | 32 |
Questions
What is the 9824th prime number?
102593.
Which prime number is 102593?
102593 is the 9824th prime number.
What is the sum of the first 9824 primes?
477,909,247.