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Diffstat (limited to '31-41/41.hs')
-rw-r--r-- | 31-41/41.hs | 16 |
1 files changed, 16 insertions, 0 deletions
diff --git a/31-41/41.hs b/31-41/41.hs new file mode 100644 index 0000000..16fd51f --- /dev/null +++ b/31-41/41.hs @@ -0,0 +1,16 @@ +isPrime :: Int -> Bool + +isPrime 1 = False +isPrime x = and $ map (\y -> x `mod` y /= 0) $ fst $ span (\y -> y * y <= x) [2..] + +goldbach :: Int -> (Int, Int) + +goldbach x = head [(a, b) | a <- primes, let b = x - a, isPrime b] + where primes = filterPrime[3..] + filterPrime (p:xs) = p:filterPrime [x | x <- xs, x `mod` p /= 0] + +goldbachList :: Int -> Int -> [(Int, Int)] +goldbachList' :: Int -> Int -> Int -> [(Int, Int)] + +goldbachList l r = map goldbach $ filter even $ dropWhile (< 4) [l..r] +goldbachList' l r i = filter (\(a, b) -> a > i && b > i) $ goldbachList l r |