What is the 9694th prime number?
The 9694th prime number is 101207. The next prime is 101209 (a gap of 2) and the one before is 101203.
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 9694th one is 101207.
- 2
101207 is prime because no prime up to ā101207 ā 318.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9694th prime is close to 9694 Ć ln(9694) ā 88984, and here it is 101207.
- 4
101207 is a twin prime: 101207 and 101209 are both prime.
Primes around the 9694th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9691 | 101183 | 10 |
| 9692 | 101197 | 14 |
| 9693 | 101203 | 6 |
| 9694 | 101207 | 4 |
| 9695 | 101209 | 2 |
| 9696 | 101221 | 12 |
| 9697 | 101267 | 46 |
Questions
What is the 9694th prime number?
101207.
Which prime number is 101207?
101207 is the 9694th prime number.
What is the sum of the first 9694 primes?
464,660,819.