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May 18th, 2019, 06:45 PM   #1
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Hello,
I am a student in discrete mathematics and I have trouble solving this problem.
Any help track is welcome!
Here is the problem:

A boat sinks in the ocean and the 5 survivors each jump in a different lifeboat. They meet on the deserted island in the distance. The next morning, the first shipwreckee on the beach finds a huge pile of oranges. He decides to separate them into 5 equal parts. After the distribution, there remains one, that he throws to the sea. He leaves to explore the island with his packet of oranges.

Shortly after, the second shipwreckee finds the pile of remaining oranges. Seeing the first to arrive, he decides to separate it into 5 equal parts. After the distribution, there remains one that he throws into the sea, then he leaves. The 3rd, 4th and 5th shipwreckees do just like the others, each in their turn.

What is the minimum number of oranges that was on the beach?

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Last edited by skipjack; July 10th, 2019 at 07:08 PM.
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May 18th, 2019, 09:16 PM   #2
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See this article.
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