What is the 9998th prime number?
The 9998th prime number is 104717. The next prime is 104723 (a gap of 6) and the one before is 104711.
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 9998th one is 104717.
- 2
104717 is prime because no prime up to ā104717 ā 323.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9998th prime is close to 9998 Ć ln(9998) ā 92083, and here it is 104717.
- 4
104717 has no twin: neither 104715 nor 104719 is prime.
Primes around the 9998th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9995 | 104701 | 8 |
| 9996 | 104707 | 6 |
| 9997 | 104711 | 4 |
| 9998 | 104717 | 6 |
| 9999 | 104723 | 6 |
| 10000 | 104729 | 6 |
| 10001 | 104743 | 14 |
Questions
What is the 9998th prime number?
104717.
Which prime number is 104717?
104717 is the 9998th prime number.
What is the sum of the first 9998 primes?
495,955,959.