How to resolve the algorithm Almost prime step by step in the D programming language
Published on 12 May 2024 09:40 PM
How to resolve the algorithm Almost prime step by step in the D programming language
Table of Contents
Problem Statement
A k-Almost-prime is a natural number
n
{\displaystyle n}
that is the product of
k
{\displaystyle k}
(possibly identical) primes.
1-almost-primes, where
k
1
{\displaystyle k=1}
, are the prime numbers themselves. 2-almost-primes, where
k
2
{\displaystyle k=2}
, are the semiprimes.
Write a function/method/subroutine/... that generates k-almost primes and use it to create a table here of the first ten members of k-Almost primes for
1 <= K <= 5
{\displaystyle 1<=K<=5}
.
Let's start with the solution:
Step by Step solution about How to resolve the algorithm Almost prime step by step in the D programming language
Source code in the d programming language
import std.stdio, std.algorithm, std.traits;
Unqual!T[] decompose(T)(in T number) pure nothrow
in {
assert(number > 1);
} body {
typeof(return) result;
Unqual!T n = number;
for (Unqual!T i = 2; n % i == 0; n /= i)
result ~= i;
for (Unqual!T i = 3; n >= i * i; i += 2)
for (; n % i == 0; n /= i)
result ~= i;
if (n != 1)
result ~= n;
return result;
}
void main() {
enum outLength = 10; // 10 k-th almost primes.
foreach (immutable k; 1 .. 6) {
writef("K = %d: ", k);
auto n = 2; // The "current number" to be checked.
foreach (immutable i; 1 .. outLength + 1) {
while (n.decompose.length != k)
n++;
// Now n is K-th almost prime.
write(n, " ");
n++;
}
writeln;
}
}
You may also check:How to resolve the algorithm Read a file line by line step by step in the Scheme programming language
You may also check:How to resolve the algorithm Nth root step by step in the Objeck programming language
You may also check:How to resolve the algorithm Nth root step by step in the Wren programming language
You may also check:How to resolve the algorithm Variables step by step in the JavaScript programming language
You may also check:How to resolve the algorithm Nonogram solver step by step in the D programming language