What is the 9704th prime number?
The 9704th prime number is 101333. The next prime is 101341 (a gap of 8) and the one before is 101323.
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 9704th one is 101333.
- 2
101333 is prime because no prime up to ā101333 ā 318.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9704th prime is close to 9704 Ć ln(9704) ā 89086, and here it is 101333.
- 4
101333 has no twin: neither 101331 nor 101335 is prime.
Primes around the 9704th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9701 | 101287 | 6 |
| 9702 | 101293 | 6 |
| 9703 | 101323 | 30 |
| 9704 | 101333 | 10 |
| 9705 | 101341 | 8 |
| 9706 | 101347 | 6 |
| 9707 | 101359 | 12 |
Questions
What is the 9704th prime number?
101333.
Which prime number is 101333?
101333 is the 9704th prime number.
What is the sum of the first 9704 primes?
465,673,585.