)If we list all the natural numbers below 10 that are multiples of 3 or 5, we get 3, 5, 6 and 9. The sum of these multiples is 23.
Find the sum of all the multiples of 3 or 5 below 1000.)
Wouldn't the true answer to this question would be negative infinity because 0 isn't indicated to be the stopping point?
Small wording issue.
- jaap
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Re: Small wording issue.
It says natural numbers, and that means that negative numbers are not included. Conventions differ on whether 0 is a natural number or not (it usually is not considered natural), but that does not matter here since it has no influence on the answer.
http://en.wikipedia.org/wiki/Natural_number
http://en.wikipedia.org/wiki/Natural_number
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drjamesneiman
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Re: Small wording issue.
Encountering these instructions: "Find the sum of all the multiples of 3 or 5 below infinity." If I constrain the problem to natural numbers, the answer obviously diverges. I am able to see the numeric pattern, and could express it if I had guidelines for doing so within the dialog box for the answer. Of course, if we allow ALL multiples of 3 or 5 below a finite number, well, they could include all the negative multiples as well. But the problem starts with an example of natural numbers. I think we need more context to answer this question, or at least some guidelines for expressing an answer, which currently does not lend itself to a simple numeric figure. I would love to answer this question and believe I know how - if the question (or the expected response) could be clarified I would be happy to continue with it!
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skoczian
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Re: Small wording issue.
I don't understand. Where do you encounter these instructions? I've never seen them, but then I don't know all the Project Euler problems.drjamesneiman wrote: Tue Sep 02, 2025 4:56 pm Encountering these instructions: "Find the sum of all the multiples of 3 or 5 below infinity."
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byhill
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Re: Small wording issue.
drjamesneiman is talking about bonus problem #1
The answer can be written exactly. Any further comments on how to give your answer might be considered a spoiler. Though if you have the correct answer, there shouldn't be much ambiguity on how to write the answer
The answer can be written exactly. Any further comments on how to give your answer might be considered a spoiler. Though if you have the correct answer, there shouldn't be much ambiguity on how to write the answer

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pjt33
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Re: Small wording issue.
I had come to the conclusion that the question is a troll rather than a mathematical problem.byhill wrote: Tue Sep 02, 2025 8:04 pm drjamesneiman is talking about bonus problem #1
The answer can be written exactly. Any further comments on how to give your answer might be considered a spoiler.
