What is the 9999th prime number?
The 9999th prime number is 104723. The next prime is 104729 (a gap of 6) and the one before is 104717.
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 9999th one is 104723.
- 2
104723 is prime because no prime up to ā104723 ā 323.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9999th prime is close to 9999 Ć ln(9999) ā 92093, and here it is 104723.
- 4
104723 has no twin: neither 104721 nor 104725 is prime.
Primes around the 9999th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9996 | 104707 | 6 |
| 9997 | 104711 | 4 |
| 9998 | 104717 | 6 |
| 9999 | 104723 | 6 |
| 10000 | 104729 | 6 |
| 10001 | 104743 | 14 |
| 10002 | 104759 | 16 |
Questions
What is the 9999th prime number?
104723.
Which prime number is 104723?
104723 is the 9999th prime number.
What is the sum of the first 9999 primes?
496,060,682.