What is the 4692nd prime number?
The 4692nd prime number is 45197. The next prime is 45233 (a gap of 36) and the one before is 45191.
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 4692nd one is 45197.
- 2
45197 is prime because no prime up to ā45197 ā 212.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4692nd prime is close to 4692 Ć ln(4692) ā 39664, and here it is 45197.
- 4
45197 has no twin: neither 45195 nor 45199 is prime.
Primes around the 4692nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4689 | 45179 | 18 |
| 4690 | 45181 | 2 |
| 4691 | 45191 | 10 |
| 4692 | 45197 | 6 |
| 4693 | 45233 | 36 |
| 4694 | 45247 | 14 |
| 4695 | 45259 | 12 |
Questions
What is the 4692nd prime number?
45197.
Which prime number is 45197?
45197 is the 4692nd prime number.
What is the sum of the first 4692 primes?
100,000,377.