What is the 4243rd prime number?
The 4243rd prime number is 40483. The next prime is 40487 (a gap of 4) and the one before is 40471.
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 4243rd one is 40483.
- 2
40483 is prime because no prime up to ā40483 ā 201.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4243rd prime is close to 4243 Ć ln(4243) ā 35442, and here it is 40483.
- 4
40483 has no twin: neither 40481 nor 40485 is prime.
Primes around the 4243rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4240 | 40433 | 4 |
| 4241 | 40459 | 26 |
| 4242 | 40471 | 12 |
| 4243 | 40483 | 12 |
| 4244 | 40487 | 4 |
| 4245 | 40493 | 6 |
| 4246 | 40499 | 6 |
Questions
What is the 4243rd prime number?
40483.
Which prime number is 40483?
40483 is the 4243rd prime number.
What is the sum of the first 4243 primes?
80,779,770.