What is the 9996th prime number?
The 9996th prime number is 104707. The next prime is 104711 (a gap of 4) and the one before is 104701.
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 9996th one is 104707.
- 2
104707 is prime because no prime up to ā104707 ā 323.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9996th prime is close to 9996 Ć ln(9996) ā 92063, and here it is 104707.
- 4
104707 has no twin: neither 104705 nor 104709 is prime.
Primes around the 9996th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9993 | 104683 | 2 |
| 9994 | 104693 | 10 |
| 9995 | 104701 | 8 |
| 9996 | 104707 | 6 |
| 9997 | 104711 | 4 |
| 9998 | 104717 | 6 |
| 9999 | 104723 | 6 |
Questions
What is the 9996th prime number?
104707.
Which prime number is 104707?
104707 is the 9996th prime number.
What is the sum of the first 9996 primes?
495,746,531.