What is the 9696th prime number?
The 9696th prime number is 101221. The next prime is 101267 (a gap of 46) and the one before is 101209.
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 9696th one is 101221.
- 2
101221 is prime because no prime up to ā101221 ā 318.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9696th prime is close to 9696 Ć ln(9696) ā 89004, and here it is 101221.
- 4
101221 has no twin: neither 101219 nor 101223 is prime.
Primes around the 9696th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9693 | 101203 | 6 |
| 9694 | 101207 | 4 |
| 9695 | 101209 | 2 |
| 9696 | 101221 | 12 |
| 9697 | 101267 | 46 |
| 9698 | 101273 | 6 |
| 9699 | 101279 | 6 |
Questions
What is the 9696th prime number?
101221.
Which prime number is 101221?
101221 is the 9696th prime number.
What is the sum of the first 9696 primes?
464,863,249.