What is the 9708th prime number?
The 9708th prime number is 101363. The next prime is 101377 (a gap of 14) and the one before is 101359.
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 9708th one is 101363.
- 2
101363 is prime because no prime up to ā101363 ā 318.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9708th prime is close to 9708 Ć ln(9708) ā 89126, and here it is 101363.
- 4
101363 has no twin: neither 101361 nor 101365 is prime.
Primes around the 9708th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9705 | 101341 | 8 |
| 9706 | 101347 | 6 |
| 9707 | 101359 | 12 |
| 9708 | 101363 | 4 |
| 9709 | 101377 | 14 |
| 9710 | 101383 | 6 |
| 9711 | 101399 | 16 |
Questions
What is the 9708th prime number?
101363.
Which prime number is 101363?
101363 is the 9708th prime number.
What is the sum of the first 9708 primes?
466,078,995.