What is the 9997th prime number?
The 9997th prime number is 104711. The next prime is 104717 (a gap of 6) and the one before is 104707.
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 9997th one is 104711.
- 2
104711 is prime because no prime up to ā104711 ā 323.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9997th prime is close to 9997 Ć ln(9997) ā 92073, and here it is 104711.
- 4
104711 has no twin: neither 104709 nor 104713 is prime.
Primes around the 9997th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9994 | 104693 | 10 |
| 9995 | 104701 | 8 |
| 9996 | 104707 | 6 |
| 9997 | 104711 | 4 |
| 9998 | 104717 | 6 |
| 9999 | 104723 | 6 |
| 10000 | 104729 | 6 |
Questions
What is the 9997th prime number?
104711.
Which prime number is 104711?
104711 is the 9997th prime number.
What is the sum of the first 9997 primes?
495,851,242.