What is the 9697th prime number?
The 9697th prime number is 101267. The next prime is 101273 (a gap of 6) and the one before is 101221.
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 9697th one is 101267.
- 2
101267 is prime because no prime up to ā101267 ā 318.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9697th prime is close to 9697 Ć ln(9697) ā 89014, and here it is 101267.
- 4
101267 has no twin: neither 101265 nor 101269 is prime.
Primes around the 9697th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9694 | 101207 | 4 |
| 9695 | 101209 | 2 |
| 9696 | 101221 | 12 |
| 9697 | 101267 | 46 |
| 9698 | 101273 | 6 |
| 9699 | 101279 | 6 |
| 9700 | 101281 | 2 |
Questions
What is the 9697th prime number?
101267.
Which prime number is 101267?
101267 is the 9697th prime number.
What is the sum of the first 9697 primes?
464,964,516.