What is the 9818th prime number?
The 9818th prime number is 102539. The next prime is 102547 (a gap of 8) and the one before is 102533.
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 9818th one is 102539.
- 2
102539 is prime because no prime up to ā102539 ā 320.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9818th prime is close to 9818 Ć ln(9818) ā 90247, and here it is 102539.
- 4
102539 has no twin: neither 102537 nor 102541 is prime.
Primes around the 9818th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9815 | 102503 | 4 |
| 9816 | 102523 | 20 |
| 9817 | 102533 | 10 |
| 9818 | 102539 | 6 |
| 9819 | 102547 | 8 |
| 9820 | 102551 | 4 |
| 9821 | 102559 | 8 |
Questions
What is the 9818th prime number?
102539.
Which prime number is 102539?
102539 is the 9818th prime number.
What is the sum of the first 9818 primes?
477,293,847.