What is the 9994th prime number?
The 9994th prime number is 104693. The next prime is 104701 (a gap of 8) and the one before is 104683.
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 9994th one is 104693.
- 2
104693 is prime because no prime up to ā104693 ā 323.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9994th prime is close to 9994 Ć ln(9994) ā 92042, and here it is 104693.
- 4
104693 has no twin: neither 104691 nor 104695 is prime.
Primes around the 9994th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9991 | 104677 | 18 |
| 9992 | 104681 | 4 |
| 9993 | 104683 | 2 |
| 9994 | 104693 | 10 |
| 9995 | 104701 | 8 |
| 9996 | 104707 | 6 |
| 9997 | 104711 | 4 |
Questions
What is the 9994th prime number?
104693.
Which prime number is 104693?
104693 is the 9994th prime number.
What is the sum of the first 9994 primes?
495,537,123.