Pirates are on the island!
Five Pirates and a monkey are shipwrecked on an island.The pirates have collected a number of coconuts which they plan to divide the next morning .Not trusting others,one pirate wakes up during the night and divides the coconuts into five equal parts and one is left which he gives to the monkey.He hides his portion.During the night each of the five pirates does the same thing equally dividing coconuts in five equal parts,giving one left to the monkey and hiding his share.In the morning they all wake up and divide them equally,and one is left over which is given to the monkey. What is the smallest number of coconuts they could have collected for their original pile?
The answer is 15621.
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1 solution
Answer
= 1 × 5^6 – (5 – 1)
= 15625 – 4
= 15621