What is the 9820th prime number?
The 9820th prime number is 102551. The next prime is 102559 (a gap of 8) and the one before is 102547.
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 9820th one is 102551.
- 2
102551 is prime because no prime up to ā102551 ā 320.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9820th prime is close to 9820 Ć ln(9820) ā 90267, and here it is 102551.
- 4
102551 has no twin: neither 102549 nor 102553 is prime.
Primes around the 9820th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9817 | 102533 | 10 |
| 9818 | 102539 | 6 |
| 9819 | 102547 | 8 |
| 9820 | 102551 | 4 |
| 9821 | 102559 | 8 |
| 9822 | 102563 | 4 |
| 9823 | 102587 | 24 |
Questions
What is the 9820th prime number?
102551.
Which prime number is 102551?
102551 is the 9820th prime number.
What is the sum of the first 9820 primes?
477,498,945.