What is the 9823rd prime number?
The 9823rd prime number is 102587. The next prime is 102593 (a gap of 6) and the one before is 102563.
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 9823rd one is 102587.
- 2
102587 is prime because no prime up to ā102587 ā 320.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9823rd prime is close to 9823 Ć ln(9823) ā 90298, and here it is 102587.
- 4
102587 has no twin: neither 102585 nor 102589 is prime.
Primes around the 9823rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9820 | 102551 | 4 |
| 9821 | 102559 | 8 |
| 9822 | 102563 | 4 |
| 9823 | 102587 | 24 |
| 9824 | 102593 | 6 |
| 9825 | 102607 | 14 |
| 9826 | 102611 | 4 |
Questions
What is the 9823rd prime number?
102587.
Which prime number is 102587?
102587 is the 9823rd prime number.
What is the sum of the first 9823 primes?
477,806,654.