What is the 9822nd prime number?
The 9822nd prime number is 102563. The next prime is 102587 (a gap of 24) and the one before is 102559.
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 9822nd one is 102563.
- 2
102563 is prime because no prime up to ā102563 ā 320.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9822nd prime is close to 9822 Ć ln(9822) ā 90288, and here it is 102563.
- 4
102563 has no twin: neither 102561 nor 102565 is prime.
Primes around the 9822nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9819 | 102547 | 8 |
| 9820 | 102551 | 4 |
| 9821 | 102559 | 8 |
| 9822 | 102563 | 4 |
| 9823 | 102587 | 24 |
| 9824 | 102593 | 6 |
| 9825 | 102607 | 14 |
Questions
What is the 9822nd prime number?
102563.
Which prime number is 102563?
102563 is the 9822nd prime number.
What is the sum of the first 9822 primes?
477,704,067.