What is the 9984th prime number?
The 9984th prime number is 104579. The next prime is 104593 (a gap of 14) and the one before is 104561.
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 9984th one is 104579.
- 2
104579 is prime because no prime up to ā104579 ā 323.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9984th prime is close to 9984 Ć ln(9984) ā 91940, and here it is 104579.
- 4
104579 has no twin: neither 104577 nor 104581 is prime.
Primes around the 9984th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9981 | 104549 | 6 |
| 9982 | 104551 | 2 |
| 9983 | 104561 | 10 |
| 9984 | 104579 | 18 |
| 9985 | 104593 | 14 |
| 9986 | 104597 | 4 |
| 9987 | 104623 | 26 |
Questions
What is the 9984th prime number?
104579.
Which prime number is 104579?
104579 is the 9984th prime number.
What is the sum of the first 9984 primes?
494,490,627.