What is the 9993rd prime number?
The 9993rd prime number is 104683. The next prime is 104693 (a gap of 10) and the one before is 104681.
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 9993rd one is 104683.
- 2
104683 is prime because no prime up to ā104683 ā 323.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9993rd prime is close to 9993 Ć ln(9993) ā 92032, and here it is 104683.
- 4
104683 is a twin prime: 104681 and 104683 are both prime.
Primes around the 9993rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9990 | 104659 | 8 |
| 9991 | 104677 | 18 |
| 9992 | 104681 | 4 |
| 9993 | 104683 | 2 |
| 9994 | 104693 | 10 |
| 9995 | 104701 | 8 |
| 9996 | 104707 | 6 |
Questions
What is the 9993rd prime number?
104683.
Which prime number is 104683?
104683 is the 9993rd prime number.
What is the sum of the first 9993 primes?
495,432,430.