What is the 9707th prime number?
The 9707th prime number is 101359. The next prime is 101363 (a gap of 4) and the one before is 101347.
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 9707th one is 101359.
- 2
101359 is prime because no prime up to ā101359 ā 318.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9707th prime is close to 9707 Ć ln(9707) ā 89116, and here it is 101359.
- 4
101359 has no twin: neither 101357 nor 101361 is prime.
Primes around the 9707th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9704 | 101333 | 10 |
| 9705 | 101341 | 8 |
| 9706 | 101347 | 6 |
| 9707 | 101359 | 12 |
| 9708 | 101363 | 4 |
| 9709 | 101377 | 14 |
| 9710 | 101383 | 6 |
Questions
What is the 9707th prime number?
101359.
Which prime number is 101359?
101359 is the 9707th prime number.
What is the sum of the first 9707 primes?
465,977,632.