What is the 9692nd prime number?
The 9692nd prime number is 101197. The next prime is 101203 (a gap of 6) and the one before is 101183.
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 9692nd one is 101197.
- 2
101197 is prime because no prime up to ā101197 ā 318.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9692nd prime is close to 9692 Ć ln(9692) ā 88963, and here it is 101197.
- 4
101197 has no twin: neither 101195 nor 101199 is prime.
Primes around the 9692nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9689 | 101161 | 2 |
| 9690 | 101173 | 12 |
| 9691 | 101183 | 10 |
| 9692 | 101197 | 14 |
| 9693 | 101203 | 6 |
| 9694 | 101207 | 4 |
| 9695 | 101209 | 2 |
Questions
What is the 9692nd prime number?
101197.
Which prime number is 101197?
101197 is the 9692nd prime number.
What is the sum of the first 9692 primes?
464,458,409.