What is the 9706th prime number?
The 9706th prime number is 101347. The next prime is 101359 (a gap of 12) and the one before is 101341.
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 9706th one is 101347.
- 2
101347 is prime because no prime up to ā101347 ā 318.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9706th prime is close to 9706 Ć ln(9706) ā 89106, and here it is 101347.
- 4
101347 has no twin: neither 101345 nor 101349 is prime.
Primes around the 9706th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9703 | 101323 | 30 |
| 9704 | 101333 | 10 |
| 9705 | 101341 | 8 |
| 9706 | 101347 | 6 |
| 9707 | 101359 | 12 |
| 9708 | 101363 | 4 |
| 9709 | 101377 | 14 |
Questions
What is the 9706th prime number?
101347.
Which prime number is 101347?
101347 is the 9706th prime number.
What is the sum of the first 9706 primes?
465,876,273.