What is the 9804th prime number?
The 9804th prime number is 102367. The next prime is 102397 (a gap of 30) and the one before is 102359.
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 9804th one is 102367.
- 2
102367 is prime because no prime up to ā102367 ā 319.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9804th prime is close to 9804 Ć ln(9804) ā 90104, and here it is 102367.
- 4
102367 has no twin: neither 102365 nor 102369 is prime.
Primes around the 9804th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9801 | 102329 | 12 |
| 9802 | 102337 | 8 |
| 9803 | 102359 | 22 |
| 9804 | 102367 | 8 |
| 9805 | 102397 | 30 |
| 9806 | 102407 | 10 |
| 9807 | 102409 | 2 |
Questions
What is the 9804th prime number?
102367.
Which prime number is 102367?
102367 is the 9804th prime number.
What is the sum of the first 9804 primes?
475,859,277.