What is the 4483rd prime number?
The 4483rd prime number is 42863. The next prime is 42899 (a gap of 36) and the one before is 42859.
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 4483rd one is 42863.
- 2
42863 is prime because no prime up to ā42863 ā 207.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4483rd prime is close to 4483 Ć ln(4483) ā 37693, and here it is 42863.
- 4
42863 has no twin: neither 42861 nor 42865 is prime.
Primes around the 4483rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4480 | 42841 | 2 |
| 4481 | 42853 | 12 |
| 4482 | 42859 | 6 |
| 4483 | 42863 | 4 |
| 4484 | 42899 | 36 |
| 4485 | 42901 | 2 |
| 4486 | 42923 | 22 |
Questions
What is the 4483rd prime number?
42863.
Which prime number is 42863?
42863 is the 4483rd prime number.
What is the sum of the first 4483 primes?
90,789,876.