What is the 9695th prime number?
The 9695th prime number is 101209. The next prime is 101221 (a gap of 12) and the one before is 101207.
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 9695th one is 101209.
- 2
101209 is prime because no prime up to ā101209 ā 318.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9695th prime is close to 9695 Ć ln(9695) ā 88994, and here it is 101209.
- 4
101209 is a twin prime: 101207 and 101209 are both prime.
Primes around the 9695th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9692 | 101197 | 14 |
| 9693 | 101203 | 6 |
| 9694 | 101207 | 4 |
| 9695 | 101209 | 2 |
| 9696 | 101221 | 12 |
| 9697 | 101267 | 46 |
| 9698 | 101273 | 6 |
Questions
What is the 9695th prime number?
101209.
Which prime number is 101209?
101209 is the 9695th prime number.
What is the sum of the first 9695 primes?
464,762,028.