What is the 4683rd prime number?
The 4683rd prime number is 45121. The next prime is 45127 (a gap of 6) and the one before is 45119.
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 4683rd one is 45121.
- 2
45121 is prime because no prime up to ā45121 ā 212.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4683rd prime is close to 4683 Ć ln(4683) ā 39579, and here it is 45121.
- 4
45121 is a twin prime: 45119 and 45121 are both prime.
Primes around the 4683rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4680 | 45077 | 16 |
| 4681 | 45083 | 6 |
| 4682 | 45119 | 36 |
| 4683 | 45121 | 2 |
| 4684 | 45127 | 6 |
| 4685 | 45131 | 4 |
| 4686 | 45137 | 6 |
Questions
What is the 4683rd prime number?
45121.
Which prime number is 45121?
45121 is the 4683rd prime number.
What is the sum of the first 4683 primes?
99,593,934.