module Example (
    addition,
    multiply,
    prime2,
    prime10short,
    prime10) where

-- some simple fractran programs

-- input: 2^a * 3^b
-- output: 3^(a+b)
addition :: [(Int,Int)]
addition = [(3,2)]

-- input: 2^a * 3^b
-- output: 5^ab
multiply :: [(Int,Int)]
multiply = [(13,21), (385,13), (1,7), (3,11), (7,2), (1,3)]

-- input: 2
-- output: a sequence containing all prime powers of 2
prime2 :: [(Int,Int)]
prime2 = [(17,91), (78,85), (19,51), (23,38), (29,33), (77,29), (95,23), (77,19), (1,17), (11,13), (13,11), (15,14), (15,2), (55,1)]

-- input: 10
-- output: a sequence containing all prime powers of 10
prime10short :: [(Int,Int)]
prime10short = [(3,11), (847,45), (143,6), (7,3), (10,91), (3,7), (36,325), (1,2), (36,5)]

prime10 :: [(Int,Int)]
prime10 = [(7,3), (99,98), (13,49), (39,35), (36,91), (10,143), (49,13), (7,11), (1,2), (91,1)]