What is the 9821st prime number?
The 9821st prime number is 102559. The next prime is 102563 (a gap of 4) and the one before is 102551.
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 9821st one is 102559.
- 2
102559 is prime because no prime up to ā102559 ā 320.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9821st prime is close to 9821 Ć ln(9821) ā 90277, and here it is 102559.
- 4
102559 has no twin: neither 102557 nor 102561 is prime.
Primes around the 9821st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9818 | 102539 | 6 |
| 9819 | 102547 | 8 |
| 9820 | 102551 | 4 |
| 9821 | 102559 | 8 |
| 9822 | 102563 | 4 |
| 9823 | 102587 | 24 |
| 9824 | 102593 | 6 |
Questions
What is the 9821st prime number?
102559.
Which prime number is 102559?
102559 is the 9821st prime number.
What is the sum of the first 9821 primes?
477,601,504.