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Task/Almost-prime/Mathematica/almost-prime.math

@@ -0,0 +1,14 @@
+kprimes[k_,n_] :=
+  (* generates a list of the n smallest k-almost-primes *)
+  Module[{firstnprimes, runningkprimes = {}},
+  firstnprimes = Prime[Range[n]];
+  runningkprimes = firstnprimes;
+  Do[
+   runningkprimes =
+     Outer[Times, firstnprimes , runningkprimes ] // Flatten // Union  // Take[#, n] & ;
+   (* only keep lowest n numbers in our running list *)
+   , {i, 1, k - 1}];
+  runningkprimes
+  ]
+(* now to create table with n=10 and k ranging from 1 to 5 *)
+Table[Flatten[{"k = " <> ToString[i] <> ": ", kprimes[i, 10]}], {i,1,5}] // TableForm