{-# OPTIONS_GHC -O2 -fno-cse #-} primesTME = 2 : gaps 3 (joinT [[p*p, p*p+2*p..] | p <- primes']) where primes' = 3 : gaps 5 (joinT -- [[p*p, p*p+2*p..] | p <- primes']) joinT ((x:xs):t) = x : union xs (joinT (pairs t)) pairs ((x:xs):ys:t) = (x : union xs ys) : pairs t gaps k s@(x:xs) | k<x = k:gaps (k+2) s -- equivalent to | True = gaps (k+2) xs -- [k,k+2..]`minus`s, k<=head s main = mapM_ print . take 10 . map fst . tail . iterate (splitAt 10.snd) $ ([],take 100 primesTME) union (x:xs) (y:ys) = case (compare x y) of LT -> x : union xs (y:ys) EQ -> x : union xs ys GT -> y : union (x:xs) ys
Standard input is empty
[2,3,5,7,11,13,17,19,23,29] [31,37,41,43,47,53,59,61,67,71] [73,79,83,89,97,101,103,107,109,113] [127,131,137,139,149,151,157,163,167,173] [179,181,191,193,197,199,211,223,227,229] [233,239,241,251,257,263,269,271,277,281] [283,293,307,311,313,317,331,337,347,349] [353,359,367,373,379,383,389,397,401,409] [419,421,431,433,439,443,449,457,461,463] [467,479,487,491,499,503,509,521,523,541]