What is the 4693rd prime number?
The 4693rd prime number is 45233. The next prime is 45247 (a gap of 14) and the one before is 45197.
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 4693rd one is 45233.
- 2
45233 is prime because no prime up to ā45233 ā 212.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4693rd prime is close to 4693 Ć ln(4693) ā 39674, and here it is 45233.
- 4
45233 has no twin: neither 45231 nor 45235 is prime.
Primes around the 4693rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4690 | 45181 | 2 |
| 4691 | 45191 | 10 |
| 4692 | 45197 | 6 |
| 4693 | 45233 | 36 |
| 4694 | 45247 | 14 |
| 4695 | 45259 | 12 |
| 4696 | 45263 | 4 |
Questions
What is the 4693rd prime number?
45233.
Which prime number is 45233?
45233 is the 4693rd prime number.
What is the sum of the first 4693 primes?
100,045,610.