What is the 9333rd prime number?
The 9333rd prime number is 96973. The next prime is 96979 (a gap of 6) and the one before is 96959.
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 9333rd one is 96973.
- 2
96973 is prime because no prime up to ā96973 ā 311.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9333rd prime is close to 9333 Ć ln(9333) ā 85316, and here it is 96973.
- 4
96973 has no twin: neither 96971 nor 96975 is prime.
Primes around the 9333rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9330 | 96931 | 20 |
| 9331 | 96953 | 22 |
| 9332 | 96959 | 6 |
| 9333 | 96973 | 14 |
| 9334 | 96979 | 6 |
| 9335 | 96989 | 10 |
| 9336 | 96997 | 8 |
Questions
What is the 9333rd prime number?
96973.
Which prime number is 96973?
96973 is the 9333rd prime number.
What is the sum of the first 9333 primes?
428,880,296.